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Finding the Fourth Proportional to 87.74, 120.37 and 85.46

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Solution

The fourth proportional to 87.74, 120.37 and 85.46 is: 117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 120.37 = 85.46 : x
  2. Step 2: Convert to fraction form
    87.74/120.37 = 85.46/x
  3. Step 3: Cross multiply
    87.74x = 120.37 × 85.46
  4. Step 4: Simplify right side
    87.74x = 10,286.82
  5. Step 5: Solve for x
    x = 10,286.82/87.74
  6. Step 6: Final answer
    x = 117.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.