Sebastian Greene added 11 points and seven rebounds for the visiting Rams (3-3).
The first meeting was in 1911-12. Manhattan holds a 51-49 lead in the series.
Bethel had all of his 15 points, plus five rebounds, in the first half as Fordham took a 36-29 lead.
Darryl Crawford scored to cap a 9-0 Manhattan run that cut the Rams' lead to 39-38 with 13:41 left in the game.
Butler's basket with 8:03 to go increased Fordham's lead to 55-44.
Jamel Ferguson scored with 4:45 left to narrow the lead to 55-53 but the Jaspers came no closer.