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Finding the Fourth Proportional to 54.80, 82.24 and 30.76

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Solution

The fourth proportional to 54.80, 82.24 and 30.76 is: 46.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.80 : 82.24 = 30.76 : x
  2. Step 2: Convert to fraction form
    54.80/82.24 = 30.76/x
  3. Step 3: Cross multiply
    54.80x = 82.24 × 30.76
  4. Step 4: Simplify right side
    54.80x = 2,529.70
  5. Step 5: Solve for x
    x = 2,529.70/54.80
  6. Step 6: Final answer
    x = 46.16

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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.