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Finding the Fourth Proportional to 22.72, 31.19 and 21.82

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Solution

The fourth proportional to 22.72, 31.19 and 21.82 is: 29.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.72 : 31.19 = 21.82 : x
  2. Step 2: Convert to fraction form
    22.72/31.19 = 21.82/x
  3. Step 3: Cross multiply
    22.72x = 31.19 × 21.82
  4. Step 4: Simplify right side
    22.72x = 680.57
  5. Step 5: Solve for x
    x = 680.57/22.72
  6. Step 6: Final answer
    x = 29.95

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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.