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Finding the Fourth Proportional to 31.44, 43.39 and 22.82

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Solution

The fourth proportional to 31.44, 43.39 and 22.82 is: 31.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.44 : 43.39 = 22.82 : x
  2. Step 2: Convert to fraction form
    31.44/43.39 = 22.82/x
  3. Step 3: Cross multiply
    31.44x = 43.39 × 22.82
  4. Step 4: Simplify right side
    31.44x = 990.16
  5. Step 5: Solve for x
    x = 990.16/31.44
  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.