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Finding the Fourth Proportional to 63.14, 87.19 and 47.70

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Solution

The fourth proportional to 63.14, 87.19 and 47.70 is: 65.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.14 : 87.19 = 47.70 : x
  2. Step 2: Convert to fraction form
    63.14/87.19 = 47.70/x
  3. Step 3: Cross multiply
    63.14x = 87.19 × 47.70
  4. Step 4: Simplify right side
    63.14x = 4,158.84
  5. Step 5: Solve for x
    x = 4,158.84/63.14
  6. Step 6: Final answer
    x = 65.87

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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.