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Finding the Fourth Proportional to 31.92, 47.82 and 22.88

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Solution

The fourth proportional to 31.92, 47.82 and 22.88 is: 34.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.92 : 47.82 = 22.88 : x
  2. Step 2: Convert to fraction form
    31.92/47.82 = 22.88/x
  3. Step 3: Cross multiply
    31.92x = 47.82 × 22.88
  4. Step 4: Simplify right side
    31.92x = 1,094.01
  5. Step 5: Solve for x
    x = 1,094.01/31.92
  6. Step 6: Final answer
    x = 34.28

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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.