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Finding the Fourth Proportional to 21.84, 32.82 and 13.28

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Solution

The fourth proportional to 21.84, 32.82 and 13.28 is: 19.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 32.82 = 13.28 : x
  2. Step 2: Convert to fraction form
    21.84/32.82 = 13.28/x
  3. Step 3: Cross multiply
    21.84x = 32.82 × 13.28
  4. Step 4: Simplify right side
    21.84x = 435.78
  5. Step 5: Solve for x
    x = 435.78/21.84
  6. Step 6: Final answer
    x = 19.96

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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.