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Finding the Fourth Proportional to 118.29, 177.42 and 113.03

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Solution

The fourth proportional to 118.29, 177.42 and 113.03 is: 169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.29 : 177.42 = 113.03 : x
  2. Step 2: Convert to fraction form
    118.29/177.42 = 113.03/x
  3. Step 3: Cross multiply
    118.29x = 177.42 × 113.03
  4. Step 4: Simplify right side
    118.29x = 20,052.90
  5. Step 5: Solve for x
    x = 20,052.90/118.29
  6. Step 6: Final answer
    x = 169.52

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