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Finding the Fourth Proportional to 87.98, 131.88 and 36.64

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Solution

The fourth proportional to 87.98, 131.88 and 36.64 is: 54.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.98 : 131.88 = 36.64 : x
  2. Step 2: Convert to fraction form
    87.98/131.88 = 36.64/x
  3. Step 3: Cross multiply
    87.98x = 131.88 × 36.64
  4. Step 4: Simplify right side
    87.98x = 4,832.08
  5. Step 5: Solve for x
    x = 4,832.08/87.98
  6. Step 6: Final answer
    x = 54.92

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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.