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Finding the Fourth Proportional to 54.58, 81.78 and 34.24

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Solution

The fourth proportional to 54.58, 81.78 and 34.24 is: 51.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.58 : 81.78 = 34.24 : x
  2. Step 2: Convert to fraction form
    54.58/81.78 = 34.24/x
  3. Step 3: Cross multiply
    54.58x = 81.78 × 34.24
  4. Step 4: Simplify right side
    54.58x = 2,800.15
  5. Step 5: Solve for x
    x = 2,800.15/54.58
  6. Step 6: Final answer
    x = 51.30

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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.