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Finding the Fourth Proportional to 67.28, 101.03 and 53.82

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Solution

The fourth proportional to 67.28, 101.03 and 53.82 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.28 : 101.03 = 53.82 : x
  2. Step 2: Convert to fraction form
    67.28/101.03 = 53.82/x
  3. Step 3: Cross multiply
    67.28x = 101.03 × 53.82
  4. Step 4: Simplify right side
    67.28x = 5,437.17
  5. Step 5: Solve for x
    x = 5,437.17/67.28
  6. Step 6: Final answer
    x = 80.82

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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.