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Finding the Fourth Proportional to 168.93, 232.49 and 132.08

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Solution

The fourth proportional to 168.93, 232.49 and 132.08 is: 181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.93 : 232.49 = 132.08 : x
  2. Step 2: Convert to fraction form
    168.93/232.49 = 132.08/x
  3. Step 3: Cross multiply
    168.93x = 232.49 × 132.08
  4. Step 4: Simplify right side
    168.93x = 30,705.46
  5. Step 5: Solve for x
    x = 30,705.46/168.93
  6. Step 6: Final answer
    x = 181.76

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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.