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Finding the Fourth Proportional to 111.32, 166.08 and 108.44

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Solution

The fourth proportional to 111.32, 166.08 and 108.44 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.32 : 166.08 = 108.44 : x
  2. Step 2: Convert to fraction form
    111.32/166.08 = 108.44/x
  3. Step 3: Cross multiply
    111.32x = 166.08 × 108.44
  4. Step 4: Simplify right side
    111.32x = 18,009.72
  5. Step 5: Solve for x
    x = 18,009.72/111.32
  6. Step 6: Final answer
    x = 161.78

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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.