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Finding the Fourth Proportional to 20.13, 27.75 and 13.22

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Solution

The fourth proportional to 20.13, 27.75 and 13.22 is: 18.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.13 : 27.75 = 13.22 : x
  2. Step 2: Convert to fraction form
    20.13/27.75 = 13.22/x
  3. Step 3: Cross multiply
    20.13x = 27.75 × 13.22
  4. Step 4: Simplify right side
    20.13x = 366.97
  5. Step 5: Solve for x
    x = 366.97/20.13
  6. Step 6: Final answer
    x = 18.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.