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Finding the Fourth Proportional to 13.09, 19.61 and 7.39

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Solution

The fourth proportional to 13.09, 19.61 and 7.39 is: 11.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.09 : 19.61 = 7.39 : x
  2. Step 2: Convert to fraction form
    13.09/19.61 = 7.39/x
  3. Step 3: Cross multiply
    13.09x = 19.61 × 7.39
  4. Step 4: Simplify right side
    13.09x = 144.92
  5. Step 5: Solve for x
    x = 144.92/13.09
  6. Step 6: Final answer
    x = 11.07

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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.