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Finding the Fourth Proportional to 39.42, 54.41 and 22.82

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Solution

The fourth proportional to 39.42, 54.41 and 22.82 is: 31.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.42 : 54.41 = 22.82 : x
  2. Step 2: Convert to fraction form
    39.42/54.41 = 22.82/x
  3. Step 3: Cross multiply
    39.42x = 54.41 × 22.82
  4. Step 4: Simplify right side
    39.42x = 1,241.25
  5. Step 5: Solve for x
    x = 1,241.25/39.42
  6. Step 6: Final answer
    x = 31.49

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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.