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Finding the Fourth Proportional to 168.49, 232.43 and 106.39

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Solution

The fourth proportional to 168.49, 232.43 and 106.39 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 232.43 = 106.39 : x
  2. Step 2: Convert to fraction form
    168.49/232.43 = 106.39/x
  3. Step 3: Cross multiply
    168.49x = 232.43 × 106.39
  4. Step 4: Simplify right side
    168.49x = 24,728.23
  5. Step 5: Solve for x
    x = 24,728.23/168.49
  6. Step 6: Final answer
    x = 146.76

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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.