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Finding the Fourth Proportional to 13.91, 20.83 and 9.91

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Solution

The fourth proportional to 13.91, 20.83 and 9.91 is: 14.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.91 : 20.83 = 9.91 : x
  2. Step 2: Convert to fraction form
    13.91/20.83 = 9.91/x
  3. Step 3: Cross multiply
    13.91x = 20.83 × 9.91
  4. Step 4: Simplify right side
    13.91x = 206.43
  5. Step 5: Solve for x
    x = 206.43/13.91
  6. Step 6: Final answer
    x = 14.84

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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.