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Finding the Fourth Proportional to 168.46, 232.40 and 102.84

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Solution

The fourth proportional to 168.46, 232.40 and 102.84 is: 141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.46 : 232.40 = 102.84 : x
  2. Step 2: Convert to fraction form
    168.46/232.40 = 102.84/x
  3. Step 3: Cross multiply
    168.46x = 232.40 × 102.84
  4. Step 4: Simplify right side
    168.46x = 23,900.02
  5. Step 5: Solve for x
    x = 23,900.02/168.46
  6. Step 6: Final answer
    x = 141.87

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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.