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Finding the Fourth Proportional to 168.14, 232.10 and 101.78

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Solution

The fourth proportional to 168.14, 232.10 and 101.78 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 232.10 = 101.78 : x
  2. Step 2: Convert to fraction form
    168.14/232.10 = 101.78/x
  3. Step 3: Cross multiply
    168.14x = 232.10 × 101.78
  4. Step 4: Simplify right side
    168.14x = 23,623.14
  5. Step 5: Solve for x
    x = 23,623.14/168.14
  6. Step 6: Final answer
    x = 140.50

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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.