We are given the equation:

$\frac{T}{Q} = \frac{Z}{U}$

To solve for $Q$, we can cross-multiply to eliminate the fractions:

$T \cdot U = Q \cdot Z$

Now, isolate $Q$ by dividing both sides of the equation by $Z$:

$Q = \frac{T \cdot U}{Z}$

So the solution for $Q$ is:

$Q = \frac{T \cdot U}{Z}$

Would you like any additional details or explanations?

Here are 5 related questions:

1. How would the solution change if $Q$ were in the denominator of a different variable?
2. Can you solve for $Z$ in the same equation?
3. What happens if $Z = 0$? Why is that important in solving equations?
4. How does cross-multiplication work when solving equations with fractions?
5. How do you verify your solution after solving for a variable?

Tip: Always check for undefined values, such as dividing by zero, when solving equations!