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Finding the Fourth Proportional to 87.05, 119.96 and 67.38

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Solution

The fourth proportional to 87.05, 119.96 and 67.38 is: 92.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.05 : 119.96 = 67.38 : x
  2. Step 2: Convert to fraction form
    87.05/119.96 = 67.38/x
  3. Step 3: Cross multiply
    87.05x = 119.96 × 67.38
  4. Step 4: Simplify right side
    87.05x = 8,082.86
  5. Step 5: Solve for x
    x = 8,082.86/87.05
  6. Step 6: Final answer
    x = 92.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.