Question: The 1906 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1906 college football season, in which year, under head coach Chester Brewer, an American football, basketball, baseball, and track and field coach and athletic director?

Context paragraphs:
1910 Michigan Agricultural Aggies football team: The 1910 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1910 college football season.  In their eighth year under head coach Chester Brewer, the Aggies compiled a 6–1 record and outscored their opponents 168 to 8.

1917 Michigan Agricultural Aggies football team: The 1917 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1917 college football season.  In their ninth non-consecutive year under head coach Chester Brewer (Brewer previously coached the Aggies from 1903 to 1910), the Aggies compiled a 0–9 record and were outscored by their opponents 179 to 23.

1904 Michigan Agricultural Aggies football team: The 1904 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1904 college football season.  In their second year under head coach Chester Brewer, the Aggies compiled a 8–1 record and outscored their opponents 380 to 16, including a 104 to 0 victory over Hillsdale College.

1906 Michigan Agricultural Aggies football team: The 1906 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1906 college football season.  In their fourth year under head coach Chester Brewer, the Aggies compiled a 7–2–2 record and outscored their opponents 195 to 28.

1908 Michigan Agricultural Aggies football team: The 1908 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1908 college football season.  In their fifth year under head coach Chester Brewer, the Aggies compiled a 6–0–2 record and outscored their opponents 205 to 22.

1909 Michigan Agricultural Aggies football team: The 1909 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1909 college football season.  In their seventh year under head coach Chester Brewer, the Aggies compiled a 9–1 record and outscored their opponents 291 to 17.

1905 Michigan Agricultural Aggies football team: The 1905 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1905 college football season.  In their third year under head coach Chester Brewer, the Aggies compiled a 10–2 record and outscored their opponents 349 to 75.

1919 Michigan Agricultural Aggies football team: The 1919 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1919 college football season.  In their tenth non-consecutive year under head coach Chester Brewer (Brewer previously coached the Aggies from 1903 to 1910 and in 1917), the Aggies compiled a 4–4–1 record and outscored their opponents 132 to 99.

Chester Brewer: Chester Leland Brewer (November 26, 1875 – April 16, 1953) was an American football, basketball, baseball, and track and field coach and athletic director.  He served as the head football coach at Albion College (1899–1902), Michigan Agricultural College, now Michigan State University, (1903–1910, 1917, 1919), the University of Missouri (1911–1913), and the University Farm, now the University of California, Davis, (1922), compiling a career record of 97–51–4.  Brewer was also the head basketball coach at Michigan Agricultural (1903–1910), Missouri (1910–1911) and the University Farm (1922–1923), tallying a mark of 84–36, and the head baseball coach at Michigan Agricultural (1904–1910, 1918–1920) and Missouri (1911, 1914–1917, 1933–1934), amassing a record of 148–93–4.

1907 Michigan Agricultural Aggies football team: The 1907 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1907 college football season.  In their fourth year under head coach Chester Brewer, the Aggies compiled a 4–2–1 record and outscored their opponents 127 to 60.

Supporting paragraphs: 1906 Michigan Agricultural Aggies football team Chester Brewer
Answer: fourth