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Finding the Fourth Proportional to 167.24, 230.51 and 111.96

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Solution

The fourth proportional to 167.24, 230.51 and 111.96 is: 154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.24 : 230.51 = 111.96 : x
  2. Step 2: Convert to fraction form
    167.24/230.51 = 111.96/x
  3. Step 3: Cross multiply
    167.24x = 230.51 × 111.96
  4. Step 4: Simplify right side
    167.24x = 25,806.75
  5. Step 5: Solve for x
    x = 25,806.75/167.24
  6. Step 6: Final answer
    x = 154.31

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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.