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Finding the Fourth Proportional to 87.70, 131.40 and 47.20

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Solution

The fourth proportional to 87.70, 131.40 and 47.20 is: 70.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.70 : 131.40 = 47.20 : x
  2. Step 2: Convert to fraction form
    87.70/131.40 = 47.20/x
  3. Step 3: Cross multiply
    87.70x = 131.40 × 47.20
  4. Step 4: Simplify right side
    87.70x = 6,202.08
  5. Step 5: Solve for x
    x = 6,202.08/87.70
  6. Step 6: Final answer
    x = 70.72

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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.