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Finding the Fourth Proportional to 54.06, 80.97 and 33.74

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Solution

The fourth proportional to 54.06, 80.97 and 33.74 is: 50.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.06 : 80.97 = 33.74 : x
  2. Step 2: Convert to fraction form
    54.06/80.97 = 33.74/x
  3. Step 3: Cross multiply
    54.06x = 80.97 × 33.74
  4. Step 4: Simplify right side
    54.06x = 2,731.52
  5. Step 5: Solve for x
    x = 2,731.52/54.06
  6. Step 6: Final answer
    x = 50.53

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Why These Related Problems?

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