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Finding the Fourth Proportional to 54.75, 82.17 and 34.50

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Solution

The fourth proportional to 54.75, 82.17 and 34.50 is: 51.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 82.17 = 34.50 : x
  2. Step 2: Convert to fraction form
    54.75/82.17 = 34.50/x
  3. Step 3: Cross multiply
    54.75x = 82.17 × 34.50
  4. Step 4: Simplify right side
    54.75x = 2,834.87
  5. Step 5: Solve for x
    x = 2,834.87/54.75
  6. Step 6: Final answer
    x = 51.78

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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.