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Finding the Fourth Proportional to 142.32, 213.48 and 77.22

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Solution

The fourth proportional to 142.32, 213.48 and 77.22 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 213.48 = 77.22 : x
  2. Step 2: Convert to fraction form
    142.32/213.48 = 77.22/x
  3. Step 3: Cross multiply
    142.32x = 213.48 × 77.22
  4. Step 4: Simplify right side
    142.32x = 16,484.93
  5. Step 5: Solve for x
    x = 16,484.93/142.32
  6. Step 6: Final answer
    x = 115.83

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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.