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Finding the Fourth Proportional to 13.97, 20.78 and 13.80

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Solution

The fourth proportional to 13.97, 20.78 and 13.80 is: 20.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.97 : 20.78 = 13.80 : x
  2. Step 2: Convert to fraction form
    13.97/20.78 = 13.80/x
  3. Step 3: Cross multiply
    13.97x = 20.78 × 13.80
  4. Step 4: Simplify right side
    13.97x = 286.69
  5. Step 5: Solve for x
    x = 286.69/13.97
  6. Step 6: Final answer
    x = 20.52

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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.