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Finding the Fourth Proportional to 19.11, 26.36 and 11.83

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Solution

The fourth proportional to 19.11, 26.36 and 11.83 is: 16.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.11 : 26.36 = 11.83 : x
  2. Step 2: Convert to fraction form
    19.11/26.36 = 11.83/x
  3. Step 3: Cross multiply
    19.11x = 26.36 × 11.83
  4. Step 4: Simplify right side
    19.11x = 311.84
  5. Step 5: Solve for x
    x = 311.84/19.11
  6. Step 6: Final answer
    x = 16.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.