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Finding the Fourth Proportional to 23.21, 31.85 and 22.81

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Solution

The fourth proportional to 23.21, 31.85 and 22.81 is: 31.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.21 : 31.85 = 22.81 : x
  2. Step 2: Convert to fraction form
    23.21/31.85 = 22.81/x
  3. Step 3: Cross multiply
    23.21x = 31.85 × 22.81
  4. Step 4: Simplify right side
    23.21x = 726.38
  5. Step 5: Solve for x
    x = 726.38/23.21
  6. Step 6: Final answer
    x = 31.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.