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Finding the Fourth Proportional to 142.43, 213.80 and 113.88

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Solution

The fourth proportional to 142.43, 213.80 and 113.88 is: 170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.43 : 213.80 = 113.88 : x
  2. Step 2: Convert to fraction form
    142.43/213.80 = 113.88/x
  3. Step 3: Cross multiply
    142.43x = 213.80 × 113.88
  4. Step 4: Simplify right side
    142.43x = 24,346.97
  5. Step 5: Solve for x
    x = 24,346.97/142.43
  6. Step 6: Final answer
    x = 170.95

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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.