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Finding the Fourth Proportional to 20.84, 31.19 and 13.21

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Solution

The fourth proportional to 20.84, 31.19 and 13.21 is: 19.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.84 : 31.19 = 13.21 : x
  2. Step 2: Convert to fraction form
    20.84/31.19 = 13.21/x
  3. Step 3: Cross multiply
    20.84x = 31.19 × 13.21
  4. Step 4: Simplify right side
    20.84x = 411.97
  5. Step 5: Solve for x
    x = 411.97/20.84
  6. Step 6: Final answer
    x = 19.77

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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.