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Finding the Fourth Proportional to 54.69, 81.97 and 41.82

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Solution

The fourth proportional to 54.69, 81.97 and 41.82 is: 62.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 81.97 = 41.82 : x
  2. Step 2: Convert to fraction form
    54.69/81.97 = 41.82/x
  3. Step 3: Cross multiply
    54.69x = 81.97 × 41.82
  4. Step 4: Simplify right side
    54.69x = 3,427.99
  5. Step 5: Solve for x
    x = 3,427.99/54.69
  6. Step 6: Final answer
    x = 62.68

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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.