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Finding the Fourth Proportional to 13.09, 19.52 and 12.29

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Solution

The fourth proportional to 13.09, 19.52 and 12.29 is: 18.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.09 : 19.52 = 12.29 : x
  2. Step 2: Convert to fraction form
    13.09/19.52 = 12.29/x
  3. Step 3: Cross multiply
    13.09x = 19.52 × 12.29
  4. Step 4: Simplify right side
    13.09x = 240.02
  5. Step 5: Solve for x
    x = 240.02/13.09
  6. Step 6: Final answer
    x = 18.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.