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Finding the Fourth Proportional to 54.93, 81.96 and 49.80

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Solution

The fourth proportional to 54.93, 81.96 and 49.80 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.93 : 81.96 = 49.80 : x
  2. Step 2: Convert to fraction form
    54.93/81.96 = 49.80/x
  3. Step 3: Cross multiply
    54.93x = 81.96 × 49.80
  4. Step 4: Simplify right side
    54.93x = 4,081.61
  5. Step 5: Solve for x
    x = 4,081.61/54.93
  6. Step 6: Final answer
    x = 74.31

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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.