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Finding the Fourth Proportional to 13.87, 20.77 and 12.76

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Solution

The fourth proportional to 13.87, 20.77 and 12.76 is: 19.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.87 : 20.77 = 12.76 : x
  2. Step 2: Convert to fraction form
    13.87/20.77 = 12.76/x
  3. Step 3: Cross multiply
    13.87x = 20.77 × 12.76
  4. Step 4: Simplify right side
    13.87x = 265.10
  5. Step 5: Solve for x
    x = 265.10/13.87
  6. Step 6: Final answer
    x = 19.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.