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Finding the Fourth Proportional to 168.05, 251.92 and 86.87

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Solution

The fourth proportional to 168.05, 251.92 and 86.87 is: 130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.05 : 251.92 = 86.87 : x
  2. Step 2: Convert to fraction form
    168.05/251.92 = 86.87/x
  3. Step 3: Cross multiply
    168.05x = 251.92 × 86.87
  4. Step 4: Simplify right side
    168.05x = 21,883.86
  5. Step 5: Solve for x
    x = 21,883.86/168.05
  6. Step 6: Final answer
    x = 130.22

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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.