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Finding the Fourth Proportional to 21.97, 32.95 and 12.33

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Solution

The fourth proportional to 21.97, 32.95 and 12.33 is: 18.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 32.95 = 12.33 : x
  2. Step 2: Convert to fraction form
    21.97/32.95 = 12.33/x
  3. Step 3: Cross multiply
    21.97x = 32.95 × 12.33
  4. Step 4: Simplify right side
    21.97x = 406.39
  5. Step 5: Solve for x
    x = 406.39/21.97
  6. Step 6: Final answer
    x = 18.50

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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.