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Finding the Fourth Proportional to 168.44, 232.46 and 102.98

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Solution

The fourth proportional to 168.44, 232.46 and 102.98 is: 142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.44 : 232.46 = 102.98 : x
  2. Step 2: Convert to fraction form
    168.44/232.46 = 102.98/x
  3. Step 3: Cross multiply
    168.44x = 232.46 × 102.98
  4. Step 4: Simplify right side
    168.44x = 23,938.73
  5. Step 5: Solve for x
    x = 23,938.73/168.44
  6. Step 6: Final answer
    x = 142.12

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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.