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The problem asks to solve the proportion:

\[
\frac{72}{90} = \frac{12}{t}
\]

To solve for \( t \), we can cross-multiply:

\[
72 \times t = 90 \times 12
\]

Now, calculate the right-hand side:

\[
72t = 1080
\]

Next, divide both sides by 72 to solve for \( t \):

\[
t = \frac{1080}{72} = 15
\]

So, \( t = 15 \).

Would you like more details on the steps? Here are five related questions to expand on this topic:

1. How do you know when to use cross-multiplication to solve a proportion?
2. Can all proportions be solved using cross-multiplication?
3. How can you check if your solution for \( t \) is correct?
4. What are other methods to solve proportions besides cross-multiplication?
5. How does simplifying fractions affect solving proportions?

**Tip:** Always double-check your solution by substituting the value of \( t \) back into the original proportion to ensure it holds true!

Solve for t in the proportion: 72/90 = 12/t

Learn how to solve the proportion 72/90 = 12/t by using cross-multiplication. This problem covers key mathematical concepts related to proportions and the Basic Proportion Theorem. Suitable for students in Grades 6-8.

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