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Finding the Fourth Proportional to 87.85, 131.54 and 61.83

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Solution

The fourth proportional to 87.85, 131.54 and 61.83 is: 92.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.85 : 131.54 = 61.83 : x
  2. Step 2: Convert to fraction form
    87.85/131.54 = 61.83/x
  3. Step 3: Cross multiply
    87.85x = 131.54 × 61.83
  4. Step 4: Simplify right side
    87.85x = 8,132.81
  5. Step 5: Solve for x
    x = 8,132.81/87.85
  6. Step 6: Final answer
    x = 92.58

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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.