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Finding the Fourth Proportional to 22.73, 34.31 and 21.96

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Solution

The fourth proportional to 22.73, 34.31 and 21.96 is: 33.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.73 : 34.31 = 21.96 : x
  2. Step 2: Convert to fraction form
    22.73/34.31 = 21.96/x
  3. Step 3: Cross multiply
    22.73x = 34.31 × 21.96
  4. Step 4: Simplify right side
    22.73x = 753.50
  5. Step 5: Solve for x
    x = 753.50/22.73
  6. Step 6: Final answer
    x = 33.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.