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Finding the Fourth Proportional to 20.75, 31.09 and 14

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Solution

The fourth proportional to 20.75, 31.09 and 14 is: 20.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 31.09 = 14 : x
  2. Step 2: Convert to fraction form
    20.75/31.09 = 14/x
  3. Step 3: Cross multiply
    20.75x = 31.09 × 14
  4. Step 4: Simplify right side
    20.75x = 435.26
  5. Step 5: Solve for x
    x = 435.26/20.75
  6. Step 6: Final answer
    x = 20.98

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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.