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Finding the Fourth Proportional to 168.78, 232.82 and 105.76

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Solution

The fourth proportional to 168.78, 232.82 and 105.76 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 232.82 = 105.76 : x
  2. Step 2: Convert to fraction form
    168.78/232.82 = 105.76/x
  3. Step 3: Cross multiply
    168.78x = 232.82 × 105.76
  4. Step 4: Simplify right side
    168.78x = 24,622.49
  5. Step 5: Solve for x
    x = 24,622.49/168.78
  6. Step 6: Final answer
    x = 145.88

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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.