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Finding the Fourth Proportional to 13.97, 21.08 and 13.13

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Solution

The fourth proportional to 13.97, 21.08 and 13.13 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.97 : 21.08 = 13.13 : x
  2. Step 2: Convert to fraction form
    13.97/21.08 = 13.13/x
  3. Step 3: Cross multiply
    13.97x = 21.08 × 13.13
  4. Step 4: Simplify right side
    13.97x = 276.71
  5. Step 5: Solve for x
    x = 276.71/13.97
  6. Step 6: Final answer
    x = 19.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.