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Finding the Fourth Proportional to 21.84, 32.96 and 19.86

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Solution

The fourth proportional to 21.84, 32.96 and 19.86 is: 29.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 32.96 = 19.86 : x
  2. Step 2: Convert to fraction form
    21.84/32.96 = 19.86/x
  3. Step 3: Cross multiply
    21.84x = 32.96 × 19.86
  4. Step 4: Simplify right side
    21.84x = 654.49
  5. Step 5: Solve for x
    x = 654.49/21.84
  6. Step 6: Final answer
    x = 29.97

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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.