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Finding the Fourth Proportional to 167.97, 251.92 and 86.77

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Solution

The fourth proportional to 167.97, 251.92 and 86.77 is: 130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.97 : 251.92 = 86.77 : x
  2. Step 2: Convert to fraction form
    167.97/251.92 = 86.77/x
  3. Step 3: Cross multiply
    167.97x = 251.92 × 86.77
  4. Step 4: Simplify right side
    167.97x = 21,859.52
  5. Step 5: Solve for x
    x = 21,859.52/167.97
  6. Step 6: Final answer
    x = 130.14

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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.