It is most likely a New Process 205 transfer case.
It is left of center
Drop the driveshafts. Remove the transfer case with a transmission jack. it's heavy. Be careful. have fun realigning the spud shaft when replacing.
80-86 Full size Bronco 80-86 F150, F250, F350
The transfer case for a 4x4 is bolted to the rear of the transmission on your Ford Ranger
The transfer case is attached to the Transmission.
The transfer case is mounted to the rear of the transmission
On a 1997 Ford Explorer 4x4 : The transfer case is bolted to the rear of the transmission underneath the vehicle
That can be a problem with the fuse, the switch might be faulty. The motor at the transfer case might be unplugged.
How to remove a transfer case in a 97 f-250
The transfer case for your 4X4 is bolted to the rear of the transmission
no
The transfer case is bolted to the back of the transmission on a 4 x 4 capable Ford Expedition