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Finding the Fourth Proportional to 13.67, 20.34 and 13.63

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Solution

The fourth proportional to 13.67, 20.34 and 13.63 is: 20.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.67 : 20.34 = 13.63 : x
  2. Step 2: Convert to fraction form
    13.67/20.34 = 13.63/x
  3. Step 3: Cross multiply
    13.67x = 20.34 × 13.63
  4. Step 4: Simplify right side
    13.67x = 277.23
  5. Step 5: Solve for x
    x = 277.23/13.67
  6. Step 6: Final answer
    x = 20.28

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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.