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Finding the Fourth Proportional to 111.38, 167.69 and 92.42

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Solution

The fourth proportional to 111.38, 167.69 and 92.42 is: 139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.38 : 167.69 = 92.42 : x
  2. Step 2: Convert to fraction form
    111.38/167.69 = 92.42/x
  3. Step 3: Cross multiply
    111.38x = 167.69 × 92.42
  4. Step 4: Simplify right side
    111.38x = 15,496.96
  5. Step 5: Solve for x
    x = 15,496.96/111.38
  6. Step 6: Final answer
    x = 139.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.