Question: Who is the paternal grandfather of Baldwin I Rátót?

Knowledge 1: Baldwin I Rátót
Baldwin (I) from the kindred Rátót (died after 1255) was a Hungarian distinguished nobleman from the "gens" Rátót, who served as master of the cupbearers three times.His father was Rathold Rátót, ispán ("comes") of Somogy County in 1203.His older brother was DominicI Rátót.He served as master of the cupbearers between 1233 and 1234.After that he functioned as ispán of Moson County in 1235.He was appointed master of the cupbearers for the second time in 1235, a position which he held until 1238.He was ispán of Vas County from 1240 to 1244.After that he functioned as ispán of Nyitra County in 1244.He served as master of the cupbearers for the third time between 1247 and 1254, besides that he held the office of ispán of Bánya from 1247 to 1251.He finished his career as ispán of Vas County in 1255. [SEP] Knowledge 2: Rathold Rátót
Rathold (I) from the kindred Rátót  was a Hungarian distinguished nobleman from the "gens" Rátót, who served as ispán ("comes") of Somogy County in 1203.He was the eldest son of voivode Leustach Rátót.As his brother, Julius I Rátót had no successors, Rathold was the ancestor of the Gyulafi branch of the Rátót clan.
Knowledge 1: Baldwin I Rátót
Baldwin (I) from the kindred Rátót (died after 1255) was a Hungarian distinguished nobleman from the "gens" Rátót, who served as master of the cupbearers three times.His father was Rathold Rátót, ispán ("comes") of Somogy County in 1203.His older brother was DominicI Rátót.He served as master of the cupbearers between 1233 and 1234.After that he functioned as ispán of Moson County in 1235.He was appointed master of the cupbearers for the second time in 1235, a position which he held until 1238.He was ispán of Vas County from 1240 to 1244.After that he functioned as ispán of Nyitra County in 1244.He served as master of the cupbearers for the third time between 1247 and 1254, besides that he held the office of ispán of Bánya from 1247 to 1251.He finished his career as ispán of Vas County in 1255. [SEP] Knowledge 2: Fujiwara no Nagara
, also known as Fujiwara no Nagayoshi, was a Japanese statesman, courtier and politician of the early Heian period.He was the grandfather of Emperor Yōzei.
Knowledge 1: Baldwin I Rátót
Baldwin (I) from the kindred Rátót (died after 1255) was a Hungarian distinguished nobleman from the "gens" Rátót, who served as master of the cupbearers three times.His father was Rathold Rátót, ispán ("comes") of Somogy County in 1203.His older brother was DominicI Rátót.He served as master of the cupbearers between 1233 and 1234.After that he functioned as ispán of Moson County in 1235.He was appointed master of the cupbearers for the second time in 1235, a position which he held until 1238.He was ispán of Vas County from 1240 to 1244.After that he functioned as ispán of Nyitra County in 1244.He served as master of the cupbearers for the third time between 1247 and 1254, besides that he held the office of ispán of Bánya from 1247 to 1251.He finished his career as ispán of Vas County in 1255. [SEP] Knowledge 2: Kaya Alp
Kaya Alp was, according to Ottoman tradition, the son of Kızıl Buğa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertuğrul, and the great grandfather of the Ottoman Empire founder, Osman I.

Answer: Leustach Rátót