The given equation is \( 4y = 104x \). We want to find out how many points Pedro averaged per game, which is given by the formula:
\[ \text{Average points per game} = \frac{y}{x} \]
To do this, we need to express \( y \) in terms of \( x \). We can start by rearranging the equation:
\[ y = \frac{104x}{4} \]
This simplifies to:
\[ y = 26x \]
Now that we have \( y \) in terms of \( x \), we can find the average points per game:
\[ \frac{y}{x} = \frac{26x}{x} \]
Simplifying this gives:
\[ \frac{y}{x} = 26 \]
Thus, Pedro averages:
\[ \boxed{26} \text{ points per game.} \]