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Finding the Fourth Proportional to 80.24, 110.66 and 53.96

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Solution

The fourth proportional to 80.24, 110.66 and 53.96 is: 74.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.24 : 110.66 = 53.96 : x
  2. Step 2: Convert to fraction form
    80.24/110.66 = 53.96/x
  3. Step 3: Cross multiply
    80.24x = 110.66 × 53.96
  4. Step 4: Simplify right side
    80.24x = 5,971.21
  5. Step 5: Solve for x
    x = 5,971.21/80.24
  6. Step 6: Final answer
    x = 74.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.