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Finding the Fourth Proportional to 63.14, 86.96 and 59.57

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Solution

The fourth proportional to 63.14, 86.96 and 59.57 is: 82.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.14 : 86.96 = 59.57 : x
  2. Step 2: Convert to fraction form
    63.14/86.96 = 59.57/x
  3. Step 3: Cross multiply
    63.14x = 86.96 × 59.57
  4. Step 4: Simplify right side
    63.14x = 5,180.57
  5. Step 5: Solve for x
    x = 5,180.57/63.14
  6. Step 6: Final answer
    x = 82.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.