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Finding the Fourth Proportional to 54.82, 81.80 and 48.73

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Solution

The fourth proportional to 54.82, 81.80 and 48.73 is: 72.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.82 : 81.80 = 48.73 : x
  2. Step 2: Convert to fraction form
    54.82/81.80 = 48.73/x
  3. Step 3: Cross multiply
    54.82x = 81.80 × 48.73
  4. Step 4: Simplify right side
    54.82x = 3,986.11
  5. Step 5: Solve for x
    x = 3,986.11/54.82
  6. Step 6: Final answer
    x = 72.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.