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Finding the Fourth Proportional to 111.16, 166.31 and 98.18

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Solution

The fourth proportional to 111.16, 166.31 and 98.18 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.16 : 166.31 = 98.18 : x
  2. Step 2: Convert to fraction form
    111.16/166.31 = 98.18/x
  3. Step 3: Cross multiply
    111.16x = 166.31 × 98.18
  4. Step 4: Simplify right side
    111.16x = 16,327.72
  5. Step 5: Solve for x
    x = 16,327.72/111.16
  6. Step 6: Final answer
    x = 146.88

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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.