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Finding the Fourth Proportional to 54.92, 82.56 and 51.78

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Solution

The fourth proportional to 54.92, 82.56 and 51.78 is: 77.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.92 : 82.56 = 51.78 : x
  2. Step 2: Convert to fraction form
    54.92/82.56 = 51.78/x
  3. Step 3: Cross multiply
    54.92x = 82.56 × 51.78
  4. Step 4: Simplify right side
    54.92x = 4,274.96
  5. Step 5: Solve for x
    x = 4,274.96/54.92
  6. Step 6: Final answer
    x = 77.84

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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.