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Finding the Fourth Proportional to 87.58, 131.23 and 38.78

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Solution

The fourth proportional to 87.58, 131.23 and 38.78 is: 58.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.58 : 131.23 = 38.78 : x
  2. Step 2: Convert to fraction form
    87.58/131.23 = 38.78/x
  3. Step 3: Cross multiply
    87.58x = 131.23 × 38.78
  4. Step 4: Simplify right side
    87.58x = 5,088.25
  5. Step 5: Solve for x
    x = 5,088.25/87.58
  6. Step 6: Final answer
    x = 58.10

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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.