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Finding the Fourth Proportional to 14.00, 20.84 and 13.97

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Solution

The fourth proportional to 14.00, 20.84 and 13.97 is: 20.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.00 : 20.84 = 13.97 : x
  2. Step 2: Convert to fraction form
    14.00/20.84 = 13.97/x
  3. Step 3: Cross multiply
    14.00x = 20.84 × 13.97
  4. Step 4: Simplify right side
    14.00x = 291.12
  5. Step 5: Solve for x
    x = 291.12/14.00
  6. Step 6: Final answer
    x = 20.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.