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Finding the Fourth Proportional to 168.18, 252.45 and 99.75

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Solution

The fourth proportional to 168.18, 252.45 and 99.75 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.18 : 252.45 = 99.75 : x
  2. Step 2: Convert to fraction form
    168.18/252.45 = 99.75/x
  3. Step 3: Cross multiply
    168.18x = 252.45 × 99.75
  4. Step 4: Simplify right side
    168.18x = 25,181.89
  5. Step 5: Solve for x
    x = 25,181.89/168.18
  6. Step 6: Final answer
    x = 149.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.