The 36 thrower was made for the round fender tractors through 1967. The 37 and 37A were made for the square fender 1968-1674 and 200-series tractors.
The later 110/112 has a different frame width and equipment mount system. You would need the adaptor to use the early thrower on your square frame tractor. John Deere made them but they are scarce by now.