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Finding the Fourth Proportional to 21.97, 32.94 and 8.96

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Solution

The fourth proportional to 21.97, 32.94 and 8.96 is: 13.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 32.94 = 8.96 : x
  2. Step 2: Convert to fraction form
    21.97/32.94 = 8.96/x
  3. Step 3: Cross multiply
    21.97x = 32.94 × 8.96
  4. Step 4: Simplify right side
    21.97x = 294.93
  5. Step 5: Solve for x
    x = 294.93/21.97
  6. Step 6: Final answer
    x = 13.42

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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.