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Finding the Fourth Proportional to 169.59, 234.04 and 91.97

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Solution

The fourth proportional to 169.59, 234.04 and 91.97 is: 126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.59 : 234.04 = 91.97 : x
  2. Step 2: Convert to fraction form
    169.59/234.04 = 91.97/x
  3. Step 3: Cross multiply
    169.59x = 234.04 × 91.97
  4. Step 4: Simplify right side
    169.59x = 21,524.31
  5. Step 5: Solve for x
    x = 21,524.31/169.59
  6. Step 6: Final answer
    x = 126.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.