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Finding the Fourth Proportional to 87.38, 130.97 and 32.49

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Solution

The fourth proportional to 87.38, 130.97 and 32.49 is: 48.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.38 : 130.97 = 32.49 : x
  2. Step 2: Convert to fraction form
    87.38/130.97 = 32.49/x
  3. Step 3: Cross multiply
    87.38x = 130.97 × 32.49
  4. Step 4: Simplify right side
    87.38x = 4,255.30
  5. Step 5: Solve for x
    x = 4,255.30/87.38
  6. Step 6: Final answer
    x = 48.70

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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.