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Finding the Fourth Proportional to 111.17, 166.05 and 100.31

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Solution

The fourth proportional to 111.17, 166.05 and 100.31 is: 149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.17 : 166.05 = 100.31 : x
  2. Step 2: Convert to fraction form
    111.17/166.05 = 100.31/x
  3. Step 3: Cross multiply
    111.17x = 166.05 × 100.31
  4. Step 4: Simplify right side
    111.17x = 16,655.97
  5. Step 5: Solve for x
    x = 16,655.97/111.17
  6. Step 6: Final answer
    x = 149.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.