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Finding the Fourth Proportional to 168.42, 252.71 and 77.06

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Solution

The fourth proportional to 168.42, 252.71 and 77.06 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.42 : 252.71 = 77.06 : x
  2. Step 2: Convert to fraction form
    168.42/252.71 = 77.06/x
  3. Step 3: Cross multiply
    168.42x = 252.71 × 77.06
  4. Step 4: Simplify right side
    168.42x = 19,472.18
  5. Step 5: Solve for x
    x = 19,472.18/168.42
  6. Step 6: Final answer
    x = 115.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.