Solve for X: Finding the Unknown in Ratio 'X:60 = 5:12'

To solve this problem, we'll follow these steps:

• Step 1: Set up the proportion based on the given ratios.
• Step 2: Apply cross-multiplication to solve for $X$.
• Step 3: Simplify and perform arithmetic calculations to find the value of $X$.

Now, let's work through each step:

Step 1: The problem gives us the proportion $\frac{X}{60} = \frac{5}{12}$.

Step 2: Using cross-multiplication, we have:

$X \times 12 = 5 \times 60$

Step 3: Simplify the equation:

$12X = 300$

To isolate $X$, divide both sides by 12:

$X = \frac{300}{12}$

Perform the division:

$X = 25$

Therefore, the solution to the problem is $X = 25$.