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Finding the Fourth Proportional to 168.04, 231.92 and 105.04

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Solution

The fourth proportional to 168.04, 231.92 and 105.04 is: 144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.04 : 231.92 = 105.04 : x
  2. Step 2: Convert to fraction form
    168.04/231.92 = 105.04/x
  3. Step 3: Cross multiply
    168.04x = 231.92 × 105.04
  4. Step 4: Simplify right side
    168.04x = 24,360.88
  5. Step 5: Solve for x
    x = 24,360.88/168.04
  6. Step 6: Final answer
    x = 144.97

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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.