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Finding the Fourth Proportional to 114.43, 171.24 and 111.73

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Solution

The fourth proportional to 114.43, 171.24 and 111.73 is: 167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.43 : 171.24 = 111.73 : x
  2. Step 2: Convert to fraction form
    114.43/171.24 = 111.73/x
  3. Step 3: Cross multiply
    114.43x = 171.24 × 111.73
  4. Step 4: Simplify right side
    114.43x = 19,132.65
  5. Step 5: Solve for x
    x = 19,132.65/114.43
  6. Step 6: Final answer
    x = 167.20

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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.