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Finding the Fourth Proportional to 168.31, 232.35 and 106.15

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Solution

The fourth proportional to 168.31, 232.35 and 106.15 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.31 : 232.35 = 106.15 : x
  2. Step 2: Convert to fraction form
    168.31/232.35 = 106.15/x
  3. Step 3: Cross multiply
    168.31x = 232.35 × 106.15
  4. Step 4: Simplify right side
    168.31x = 24,663.95
  5. Step 5: Solve for x
    x = 24,663.95/168.31
  6. Step 6: Final answer
    x = 146.54

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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.