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Finding the Fourth Proportional to 111.46, 154.10 and 83.97

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Solution

The fourth proportional to 111.46, 154.10 and 83.97 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.46 : 154.10 = 83.97 : x
  2. Step 2: Convert to fraction form
    111.46/154.10 = 83.97/x
  3. Step 3: Cross multiply
    111.46x = 154.10 × 83.97
  4. Step 4: Simplify right side
    111.46x = 12,939.78
  5. Step 5: Solve for x
    x = 12,939.78/111.46
  6. Step 6: Final answer
    x = 116.09

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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.