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Finding the Fourth Proportional to 111.10, 166.46 and 83.98

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Solution

The fourth proportional to 111.10, 166.46 and 83.98 is: 125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.10 : 166.46 = 83.98 : x
  2. Step 2: Convert to fraction form
    111.10/166.46 = 83.98/x
  3. Step 3: Cross multiply
    111.10x = 166.46 × 83.98
  4. Step 4: Simplify right side
    111.10x = 13,979.31
  5. Step 5: Solve for x
    x = 13,979.31/111.10
  6. Step 6: Final answer
    x = 125.83

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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.