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Finding the Fourth Proportional to 111.72, 166.63 and 108.30

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Solution

The fourth proportional to 111.72, 166.63 and 108.30 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.72 : 166.63 = 108.30 : x
  2. Step 2: Convert to fraction form
    111.72/166.63 = 108.30/x
  3. Step 3: Cross multiply
    111.72x = 166.63 × 108.30
  4. Step 4: Simplify right side
    111.72x = 18,046.30
  5. Step 5: Solve for x
    x = 18,046.30/111.72
  6. Step 6: Final answer
    x = 161.54

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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.