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Finding the Fourth Proportional to 13.84, 20.66 and 11.95

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Solution

The fourth proportional to 13.84, 20.66 and 11.95 is: 17.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.84 : 20.66 = 11.95 : x
  2. Step 2: Convert to fraction form
    13.84/20.66 = 11.95/x
  3. Step 3: Cross multiply
    13.84x = 20.66 × 11.95
  4. Step 4: Simplify right side
    13.84x = 246.78
  5. Step 5: Solve for x
    x = 246.78/13.84
  6. Step 6: Final answer
    x = 17.83

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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.