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Finding the Fourth Proportional to 31.82, 47.72 and 22.91

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Solution

The fourth proportional to 31.82, 47.72 and 22.91 is: 34.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.82 : 47.72 = 22.91 : x
  2. Step 2: Convert to fraction form
    31.82/47.72 = 22.91/x
  3. Step 3: Cross multiply
    31.82x = 47.72 × 22.91
  4. Step 4: Simplify right side
    31.82x = 1,093.08
  5. Step 5: Solve for x
    x = 1,093.08/31.82
  6. Step 6: Final answer
    x = 34.36

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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.