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Finding the Fourth Proportional to 87.72, 131.65 and 42.09

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Solution

The fourth proportional to 87.72, 131.65 and 42.09 is: 63.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.72 : 131.65 = 42.09 : x
  2. Step 2: Convert to fraction form
    87.72/131.65 = 42.09/x
  3. Step 3: Cross multiply
    87.72x = 131.65 × 42.09
  4. Step 4: Simplify right side
    87.72x = 5,540.67
  5. Step 5: Solve for x
    x = 5,540.67/87.72
  6. Step 6: Final answer
    x = 63.17

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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.