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Finding the Fourth Proportional to 110.44, 164.96 and 92.42

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Solution

The fourth proportional to 110.44, 164.96 and 92.42 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 164.96 = 92.42 : x
  2. Step 2: Convert to fraction form
    110.44/164.96 = 92.42/x
  3. Step 3: Cross multiply
    110.44x = 164.96 × 92.42
  4. Step 4: Simplify right side
    110.44x = 15,245.60
  5. Step 5: Solve for x
    x = 15,245.60/110.44
  6. Step 6: Final answer
    x = 138.04

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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.