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Finding the Fourth Proportional to 168.37, 232.41 and 102.02

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Solution

The fourth proportional to 168.37, 232.41 and 102.02 is: 140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.37 : 232.41 = 102.02 : x
  2. Step 2: Convert to fraction form
    168.37/232.41 = 102.02/x
  3. Step 3: Cross multiply
    168.37x = 232.41 × 102.02
  4. Step 4: Simplify right side
    168.37x = 23,710.47
  5. Step 5: Solve for x
    x = 23,710.47/168.37
  6. Step 6: Final answer
    x = 140.82

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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.