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Finding the Fourth Proportional to 168.49, 232.65 and 106.33

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Solution

The fourth proportional to 168.49, 232.65 and 106.33 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 232.65 = 106.33 : x
  2. Step 2: Convert to fraction form
    168.49/232.65 = 106.33/x
  3. Step 3: Cross multiply
    168.49x = 232.65 × 106.33
  4. Step 4: Simplify right side
    168.49x = 24,737.67
  5. Step 5: Solve for x
    x = 24,737.67/168.49
  6. Step 6: Final answer
    x = 146.82

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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.