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Finding the Fourth Proportional to 168.27, 252.49 and 114.05

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Solution

The fourth proportional to 168.27, 252.49 and 114.05 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.27 : 252.49 = 114.05 : x
  2. Step 2: Convert to fraction form
    168.27/252.49 = 114.05/x
  3. Step 3: Cross multiply
    168.27x = 252.49 × 114.05
  4. Step 4: Simplify right side
    168.27x = 28,796.48
  5. Step 5: Solve for x
    x = 28,796.48/168.27
  6. Step 6: Final answer
    x = 171.13

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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.