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Finding the Fourth Proportional to 168.97, 233.17 and 99.03

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Solution

The fourth proportional to 168.97, 233.17 and 99.03 is: 136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.97 : 233.17 = 99.03 : x
  2. Step 2: Convert to fraction form
    168.97/233.17 = 99.03/x
  3. Step 3: Cross multiply
    168.97x = 233.17 × 99.03
  4. Step 4: Simplify right side
    168.97x = 23,091.45
  5. Step 5: Solve for x
    x = 23,091.45/168.97
  6. Step 6: Final answer
    x = 136.66

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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.