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Finding the Fourth Proportional to 13.13, 19.65 and 11.33

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Solution

The fourth proportional to 13.13, 19.65 and 11.33 is: 16.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.13 : 19.65 = 11.33 : x
  2. Step 2: Convert to fraction form
    13.13/19.65 = 11.33/x
  3. Step 3: Cross multiply
    13.13x = 19.65 × 11.33
  4. Step 4: Simplify right side
    13.13x = 222.65
  5. Step 5: Solve for x
    x = 222.65/13.13
  6. Step 6: Final answer
    x = 16.96

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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.