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Finding the Fourth Proportional to 54.76, 82.09 and 31.95

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Solution

The fourth proportional to 54.76, 82.09 and 31.95 is: 47.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 82.09 = 31.95 : x
  2. Step 2: Convert to fraction form
    54.76/82.09 = 31.95/x
  3. Step 3: Cross multiply
    54.76x = 82.09 × 31.95
  4. Step 4: Simplify right side
    54.76x = 2,622.62
  5. Step 5: Solve for x
    x = 2,622.62/54.76
  6. Step 6: Final answer
    x = 47.90

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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.