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Finding the Fourth Proportional to 63.60, 95.49 and 57.66

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Solution

The fourth proportional to 63.60, 95.49 and 57.66 is: 86.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.60 : 95.49 = 57.66 : x
  2. Step 2: Convert to fraction form
    63.60/95.49 = 57.66/x
  3. Step 3: Cross multiply
    63.60x = 95.49 × 57.66
  4. Step 4: Simplify right side
    63.60x = 5,505.95
  5. Step 5: Solve for x
    x = 5,505.95/63.60
  6. Step 6: Final answer
    x = 86.57

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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.