To solve for \( r \) in terms of \( s \), \( t \), and \( u \) from the equation:
\[ u = \frac{1}{t} sr \]
We can rearrange the equation step by step:
- Multiply both sides by \( t \) to eliminate the fraction:
\[ ut = sr \]
- Divide both sides by \( s \) to isolate \( r \):
\[ r = \frac{ut}{s} \]
Thus, the solution for \( r \) in terms of \( s \), \( t \), and \( u \) is:
\[ r = \frac{ut}{s} \]