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Finding the Fourth Proportional to 80.28, 120.48 and 53.28

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Solution

The fourth proportional to 80.28, 120.48 and 53.28 is: 79.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.28 : 120.48 = 53.28 : x
  2. Step 2: Convert to fraction form
    80.28/120.48 = 53.28/x
  3. Step 3: Cross multiply
    80.28x = 120.48 × 53.28
  4. Step 4: Simplify right side
    80.28x = 6,419.17
  5. Step 5: Solve for x
    x = 6,419.17/80.28
  6. Step 6: Final answer
    x = 79.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.