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Finding the Fourth Proportional to 111.88, 167.89 and 103.11

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Solution

The fourth proportional to 111.88, 167.89 and 103.11 is: 154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.88 : 167.89 = 103.11 : x
  2. Step 2: Convert to fraction form
    111.88/167.89 = 103.11/x
  3. Step 3: Cross multiply
    111.88x = 167.89 × 103.11
  4. Step 4: Simplify right side
    111.88x = 17,311.14
  5. Step 5: Solve for x
    x = 17,311.14/111.88
  6. Step 6: Final answer
    x = 154.73

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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.