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Finding the Fourth Proportional to 54.54, 81.46 and 45.44

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Solution

The fourth proportional to 54.54, 81.46 and 45.44 is: 67.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.54 : 81.46 = 45.44 : x
  2. Step 2: Convert to fraction form
    54.54/81.46 = 45.44/x
  3. Step 3: Cross multiply
    54.54x = 81.46 × 45.44
  4. Step 4: Simplify right side
    54.54x = 3,701.54
  5. Step 5: Solve for x
    x = 3,701.54/54.54
  6. Step 6: Final answer
    x = 67.87

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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.