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Finding the Fourth Proportional to 54.49, 81.20 and 52.17

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Solution

The fourth proportional to 54.49, 81.20 and 52.17 is: 77.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.49 : 81.20 = 52.17 : x
  2. Step 2: Convert to fraction form
    54.49/81.20 = 52.17/x
  3. Step 3: Cross multiply
    54.49x = 81.20 × 52.17
  4. Step 4: Simplify right side
    54.49x = 4,236.20
  5. Step 5: Solve for x
    x = 4,236.20/54.49
  6. Step 6: Final answer
    x = 77.74

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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.