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Finding the Fourth Proportional to 111.27, 167.09 and 106.91

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Solution

The fourth proportional to 111.27, 167.09 and 106.91 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.27 : 167.09 = 106.91 : x
  2. Step 2: Convert to fraction form
    111.27/167.09 = 106.91/x
  3. Step 3: Cross multiply
    111.27x = 167.09 × 106.91
  4. Step 4: Simplify right side
    111.27x = 17,862.22
  5. Step 5: Solve for x
    x = 17,862.22/111.27
  6. Step 6: Final answer
    x = 160.53

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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.