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Finding the Fourth Proportional to 13.87, 20.84 and 10.52

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Solution

The fourth proportional to 13.87, 20.84 and 10.52 is: 15.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.87 : 20.84 = 10.52 : x
  2. Step 2: Convert to fraction form
    13.87/20.84 = 10.52/x
  3. Step 3: Cross multiply
    13.87x = 20.84 × 10.52
  4. Step 4: Simplify right side
    13.87x = 219.24
  5. Step 5: Solve for x
    x = 219.24/13.87
  6. Step 6: Final answer
    x = 15.81

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Why These Related Problems?

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