Answer:
Proportion states that the two ratios or fractions are equal.
As per the given statement:
f the feed per revolution on an upright drilling machine is set to 1/64" and the rpm is set to 105.
Let x represents the revolutions are required for the drill to advance
into the part.
By definition of proportion:

By cross multiply we have;

Multiply both sides by 64 we get;

Simplify:

Therefore, 14,280 rpm revolutions are required for the drill to advance
into the part