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Will bf goodrich 31x10.5x16.5 tires fit on 16 inch wheels?

No, they will not. The tire size 31x10.5x16.5 indicates that the tire has a diameter of 31 inches, a width of 10.5 inches, and a rim diameter of 16.5 inches. 16-inch wheels have a rim diameter of 16 inches, which is smaller than the required 16.5 inches for the tire. Therefore, these tires cannot be mounted on 16-inch wheels.