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Finding the Fourth Proportional to 142.29, 213.44 and 77.29

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Solution

The fourth proportional to 142.29, 213.44 and 77.29 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.29 : 213.44 = 77.29 : x
  2. Step 2: Convert to fraction form
    142.29/213.44 = 77.29/x
  3. Step 3: Cross multiply
    142.29x = 213.44 × 77.29
  4. Step 4: Simplify right side
    142.29x = 16,496.78
  5. Step 5: Solve for x
    x = 16,496.78/142.29
  6. Step 6: Final answer
    x = 115.94

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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.