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Finding the Fourth Proportional to 54.04, 80.82 and 43.71

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Solution

The fourth proportional to 54.04, 80.82 and 43.71 is: 65.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.04 : 80.82 = 43.71 : x
  2. Step 2: Convert to fraction form
    54.04/80.82 = 43.71/x
  3. Step 3: Cross multiply
    54.04x = 80.82 × 43.71
  4. Step 4: Simplify right side
    54.04x = 3,532.64
  5. Step 5: Solve for x
    x = 3,532.64/54.04
  6. Step 6: Final answer
    x = 65.37

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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.