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Finding the Fourth Proportional to 111.37, 167.87 and 106.73

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Solution

The fourth proportional to 111.37, 167.87 and 106.73 is: 160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.37 : 167.87 = 106.73 : x
  2. Step 2: Convert to fraction form
    111.37/167.87 = 106.73/x
  3. Step 3: Cross multiply
    111.37x = 167.87 × 106.73
  4. Step 4: Simplify right side
    111.37x = 17,916.23
  5. Step 5: Solve for x
    x = 17,916.23/111.37
  6. Step 6: Final answer
    x = 160.88

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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.