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Finding the Fourth Proportional to 80.28, 110.82 and 54.42

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Solution

The fourth proportional to 80.28, 110.82 and 54.42 is: 75.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.28 : 110.82 = 54.42 : x
  2. Step 2: Convert to fraction form
    80.28/110.82 = 54.42/x
  3. Step 3: Cross multiply
    80.28x = 110.82 × 54.42
  4. Step 4: Simplify right side
    80.28x = 6,030.82
  5. Step 5: Solve for x
    x = 6,030.82/80.28
  6. Step 6: Final answer
    x = 75.12

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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.