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Finding the Fourth Proportional to 168.25, 232.21 and 101.87

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Solution

The fourth proportional to 168.25, 232.21 and 101.87 is: 140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.25 : 232.21 = 101.87 : x
  2. Step 2: Convert to fraction form
    168.25/232.21 = 101.87/x
  3. Step 3: Cross multiply
    168.25x = 232.21 × 101.87
  4. Step 4: Simplify right side
    168.25x = 23,654.07
  5. Step 5: Solve for x
    x = 23,654.07/168.25
  6. Step 6: Final answer
    x = 140.59

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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.