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Finding the Fourth Proportional to 168.88, 232.84 and 125.20

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Solution

The fourth proportional to 168.88, 232.84 and 125.20 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.88 : 232.84 = 125.20 : x
  2. Step 2: Convert to fraction form
    168.88/232.84 = 125.20/x
  3. Step 3: Cross multiply
    168.88x = 232.84 × 125.20
  4. Step 4: Simplify right side
    168.88x = 29,151.57
  5. Step 5: Solve for x
    x = 29,151.57/168.88
  6. Step 6: Final answer
    x = 172.62

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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.