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Finding the Fourth Proportional to 54.85, 82.34 and 49.18

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Solution

The fourth proportional to 54.85, 82.34 and 49.18 is: 73.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.85 : 82.34 = 49.18 : x
  2. Step 2: Convert to fraction form
    54.85/82.34 = 49.18/x
  3. Step 3: Cross multiply
    54.85x = 82.34 × 49.18
  4. Step 4: Simplify right side
    54.85x = 4,049.48
  5. Step 5: Solve for x
    x = 4,049.48/54.85
  6. Step 6: Final answer
    x = 73.83

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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.