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Finding the Fourth Proportional to 118.31, 176.31 and 114.44

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Solution

The fourth proportional to 118.31, 176.31 and 114.44 is: 170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.31 : 176.31 = 114.44 : x
  2. Step 2: Convert to fraction form
    118.31/176.31 = 114.44/x
  3. Step 3: Cross multiply
    118.31x = 176.31 × 114.44
  4. Step 4: Simplify right side
    118.31x = 20,176.92
  5. Step 5: Solve for x
    x = 20,176.92/118.31
  6. Step 6: Final answer
    x = 170.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.