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Finding the Fourth Proportional to 13.85, 20.67 and 13.03

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Solution

The fourth proportional to 13.85, 20.67 and 13.03 is: 19.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.85 : 20.67 = 13.03 : x
  2. Step 2: Convert to fraction form
    13.85/20.67 = 13.03/x
  3. Step 3: Cross multiply
    13.85x = 20.67 × 13.03
  4. Step 4: Simplify right side
    13.85x = 269.30
  5. Step 5: Solve for x
    x = 269.30/13.85
  6. Step 6: Final answer
    x = 19.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.