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Finding the Fourth Proportional to 54.81, 82.28 and 30.78

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Solution

The fourth proportional to 54.81, 82.28 and 30.78 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.81 : 82.28 = 30.78 : x
  2. Step 2: Convert to fraction form
    54.81/82.28 = 30.78/x
  3. Step 3: Cross multiply
    54.81x = 82.28 × 30.78
  4. Step 4: Simplify right side
    54.81x = 2,532.66
  5. Step 5: Solve for x
    x = 2,532.66/54.81
  6. Step 6: Final answer
    x = 46.21

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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.