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Finding the Fourth Proportional to 80.82, 111.41 and 54.22

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Solution

The fourth proportional to 80.82, 111.41 and 54.22 is: 74.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.82 : 111.41 = 54.22 : x
  2. Step 2: Convert to fraction form
    80.82/111.41 = 54.22/x
  3. Step 3: Cross multiply
    80.82x = 111.41 × 54.22
  4. Step 4: Simplify right side
    80.82x = 6,040.09
  5. Step 5: Solve for x
    x = 6,040.09/80.82
  6. Step 6: Final answer
    x = 74.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.