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Finding the Fourth Proportional to 111.80, 154.24 and 68.12

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Solution

The fourth proportional to 111.80, 154.24 and 68.12 is: 93.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.80 : 154.24 = 68.12 : x
  2. Step 2: Convert to fraction form
    111.80/154.24 = 68.12/x
  3. Step 3: Cross multiply
    111.80x = 154.24 × 68.12
  4. Step 4: Simplify right side
    111.80x = 10,505.72
  5. Step 5: Solve for x
    x = 10,505.72/111.80
  6. Step 6: Final answer
    x = 93.97

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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.