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Finding the Fourth Proportional to 168.27, 232.05 and 102.69

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Solution

The fourth proportional to 168.27, 232.05 and 102.69 is: 141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.27 : 232.05 = 102.69 : x
  2. Step 2: Convert to fraction form
    168.27/232.05 = 102.69/x
  3. Step 3: Cross multiply
    168.27x = 232.05 × 102.69
  4. Step 4: Simplify right side
    168.27x = 23,829.21
  5. Step 5: Solve for x
    x = 23,829.21/168.27
  6. Step 6: Final answer
    x = 141.61

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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.