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Finding the Fourth Proportional to 168.48, 252.71 and 77.07

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Solution

The fourth proportional to 168.48, 252.71 and 77.07 is: 115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.48 : 252.71 = 77.07 : x
  2. Step 2: Convert to fraction form
    168.48/252.71 = 77.07/x
  3. Step 3: Cross multiply
    168.48x = 252.71 × 77.07
  4. Step 4: Simplify right side
    168.48x = 19,475.97
  5. Step 5: Solve for x
    x = 19,475.97/168.48
  6. Step 6: Final answer
    x = 115.60

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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.