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Finding the Fourth Proportional to 13.91, 20.74 and 13.75

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Solution

The fourth proportional to 13.91, 20.74 and 13.75 is: 20.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.91 : 20.74 = 13.75 : x
  2. Step 2: Convert to fraction form
    13.91/20.74 = 13.75/x
  3. Step 3: Cross multiply
    13.91x = 20.74 × 13.75
  4. Step 4: Simplify right side
    13.91x = 285.11
  5. Step 5: Solve for x
    x = 285.11/13.91
  6. Step 6: Final answer
    x = 20.50

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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.