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Finding the Fourth Proportional to 13.82, 20.75 and 13.16

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Solution

The fourth proportional to 13.82, 20.75 and 13.16 is: 19.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 20.75 = 13.16 : x
  2. Step 2: Convert to fraction form
    13.82/20.75 = 13.16/x
  3. Step 3: Cross multiply
    13.82x = 20.75 × 13.16
  4. Step 4: Simplify right side
    13.82x = 273.06
  5. Step 5: Solve for x
    x = 273.06/13.82
  6. Step 6: Final answer
    x = 19.77

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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.