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Finding the Fourth Proportional to 87.64, 131.40 and 63.58

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Solution

The fourth proportional to 87.64, 131.40 and 63.58 is: 95.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.64 : 131.40 = 63.58 : x
  2. Step 2: Convert to fraction form
    87.64/131.40 = 63.58/x
  3. Step 3: Cross multiply
    87.64x = 131.40 × 63.58
  4. Step 4: Simplify right side
    87.64x = 8,354.41
  5. Step 5: Solve for x
    x = 8,354.41/87.64
  6. Step 6: Final answer
    x = 95.33

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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.