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Finding the Fourth Proportional to 142.67, 213.82 and 77.70

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Solution

The fourth proportional to 142.67, 213.82 and 77.70 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.67 : 213.82 = 77.70 : x
  2. Step 2: Convert to fraction form
    142.67/213.82 = 77.70/x
  3. Step 3: Cross multiply
    142.67x = 213.82 × 77.70
  4. Step 4: Simplify right side
    142.67x = 16,613.09
  5. Step 5: Solve for x
    x = 16,613.09/142.67
  6. Step 6: Final answer
    x = 116.44

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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.