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Finding the Fourth Proportional to 87.35, 131.07 and 51.29

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Solution

The fourth proportional to 87.35, 131.07 and 51.29 is: 76.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.35 : 131.07 = 51.29 : x
  2. Step 2: Convert to fraction form
    87.35/131.07 = 51.29/x
  3. Step 3: Cross multiply
    87.35x = 131.07 × 51.29
  4. Step 4: Simplify right side
    87.35x = 6,722.58
  5. Step 5: Solve for x
    x = 6,722.58/87.35
  6. Step 6: Final answer
    x = 76.96

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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.