Finding the Fourth Proportional to 24.78, 37.14 and 10.50
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Solution
The fourth proportional to 24.78, 37.14 and 10.50 is: 15.74
Step by Step Solution
- Step 1: Write the proportion equation
24.78 : 37.14 = 10.50 : x - Step 2: Convert to fraction form
24.78/37.14 = 10.50/x - Step 3: Cross multiply
24.78x = 37.14 × 10.50 - Step 4: Simplify right side
24.78x = 389.97 - Step 5: Solve for x
x = 389.97/24.78 - Step 6: Final answer
x = 15.74
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.