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Finding the Fourth Proportional to 54.98, 82.11 and 44.16

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Solution

The fourth proportional to 54.98, 82.11 and 44.16 is: 65.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 82.11 = 44.16 : x
  2. Step 2: Convert to fraction form
    54.98/82.11 = 44.16/x
  3. Step 3: Cross multiply
    54.98x = 82.11 × 44.16
  4. Step 4: Simplify right side
    54.98x = 3,625.76
  5. Step 5: Solve for x
    x = 3,625.76/54.98
  6. Step 6: Final answer
    x = 65.95

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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.