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Finding the Fourth Proportional to 13.09, 19.65 and 7.75

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Solution

The fourth proportional to 13.09, 19.65 and 7.75 is: 11.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.09 : 19.65 = 7.75 : x
  2. Step 2: Convert to fraction form
    13.09/19.65 = 7.75/x
  3. Step 3: Cross multiply
    13.09x = 19.65 × 7.75
  4. Step 4: Simplify right side
    13.09x = 152.29
  5. Step 5: Solve for x
    x = 152.29/13.09
  6. Step 6: Final answer
    x = 11.63

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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.