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Finding the Fourth Proportional to 13.09, 19.71 and 11.83

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Solution

The fourth proportional to 13.09, 19.71 and 11.83 is: 17.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.09 : 19.71 = 11.83 : x
  2. Step 2: Convert to fraction form
    13.09/19.71 = 11.83/x
  3. Step 3: Cross multiply
    13.09x = 19.71 × 11.83
  4. Step 4: Simplify right side
    13.09x = 233.17
  5. Step 5: Solve for x
    x = 233.17/13.09
  6. Step 6: Final answer
    x = 17.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.