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Finding the Fourth Proportional to 54.80, 82.25 and 52.11

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Solution

The fourth proportional to 54.80, 82.25 and 52.11 is: 78.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.80 : 82.25 = 52.11 : x
  2. Step 2: Convert to fraction form
    54.80/82.25 = 52.11/x
  3. Step 3: Cross multiply
    54.80x = 82.25 × 52.11
  4. Step 4: Simplify right side
    54.80x = 4,285.98
  5. Step 5: Solve for x
    x = 4,285.98/54.80
  6. Step 6: Final answer
    x = 78.21

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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.