In the exponential function \( f(x) = 100(1.25)^{x-1} \), the common ratio is the base of the exponent, which affects how the function grows as \( x \) changes.
Here, the common ratio is \( 1.25 \). This means that for every unit increase in \( x \), the function \( f(x) \) is multiplied by \( 1.25 \).