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Finding the Fourth Proportional to 168.61, 232.78 and 106.49

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Solution

The fourth proportional to 168.61, 232.78 and 106.49 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.61 : 232.78 = 106.49 : x
  2. Step 2: Convert to fraction form
    168.61/232.78 = 106.49/x
  3. Step 3: Cross multiply
    168.61x = 232.78 × 106.49
  4. Step 4: Simplify right side
    168.61x = 24,789.06
  5. Step 5: Solve for x
    x = 24,789.06/168.61
  6. Step 6: Final answer
    x = 147.02

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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.