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Finding the Fourth Proportional to 168.52, 232.14 and 142.12

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Solution

The fourth proportional to 168.52, 232.14 and 142.12 is: 195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.52 : 232.14 = 142.12 : x
  2. Step 2: Convert to fraction form
    168.52/232.14 = 142.12/x
  3. Step 3: Cross multiply
    168.52x = 232.14 × 142.12
  4. Step 4: Simplify right side
    168.52x = 32,991.74
  5. Step 5: Solve for x
    x = 32,991.74/168.52
  6. Step 6: Final answer
    x = 195.77

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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.