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Finding the Fourth Proportional to 20.84, 31.21 and 14.42

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Solution

The fourth proportional to 20.84, 31.21 and 14.42 is: 21.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.84 : 31.21 = 14.42 : x
  2. Step 2: Convert to fraction form
    20.84/31.21 = 14.42/x
  3. Step 3: Cross multiply
    20.84x = 31.21 × 14.42
  4. Step 4: Simplify right side
    20.84x = 450.05
  5. Step 5: Solve for x
    x = 450.05/20.84
  6. Step 6: Final answer
    x = 21.60

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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.