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Finding the Fourth Proportional to 21.84, 32.70 and 13.27

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Solution

The fourth proportional to 21.84, 32.70 and 13.27 is: 19.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 32.70 = 13.27 : x
  2. Step 2: Convert to fraction form
    21.84/32.70 = 13.27/x
  3. Step 3: Cross multiply
    21.84x = 32.70 × 13.27
  4. Step 4: Simplify right side
    21.84x = 433.93
  5. Step 5: Solve for x
    x = 433.93/21.84
  6. Step 6: Final answer
    x = 19.87

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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.