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Finding the Fourth Proportional to 54.43, 81.69 and 49.39

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Solution

The fourth proportional to 54.43, 81.69 and 49.39 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.43 : 81.69 = 49.39 : x
  2. Step 2: Convert to fraction form
    54.43/81.69 = 49.39/x
  3. Step 3: Cross multiply
    54.43x = 81.69 × 49.39
  4. Step 4: Simplify right side
    54.43x = 4,034.67
  5. Step 5: Solve for x
    x = 4,034.67/54.43
  6. Step 6: Final answer
    x = 74.13

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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.