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Finding the Fourth Proportional to 168.13, 232.14 and 121.61

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Solution

The fourth proportional to 168.13, 232.14 and 121.61 is: 167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.13 : 232.14 = 121.61 : x
  2. Step 2: Convert to fraction form
    168.13/232.14 = 121.61/x
  3. Step 3: Cross multiply
    168.13x = 232.14 × 121.61
  4. Step 4: Simplify right side
    168.13x = 28,229.84
  5. Step 5: Solve for x
    x = 28,229.84/168.13
  6. Step 6: Final answer
    x = 167.90

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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.