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Finding the Fourth Proportional to 13.19, 19.71 and 12.34

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Solution

The fourth proportional to 13.19, 19.71 and 12.34 is: 18.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.19 : 19.71 = 12.34 : x
  2. Step 2: Convert to fraction form
    13.19/19.71 = 12.34/x
  3. Step 3: Cross multiply
    13.19x = 19.71 × 12.34
  4. Step 4: Simplify right side
    13.19x = 243.22
  5. Step 5: Solve for x
    x = 243.22/13.19
  6. Step 6: Final answer
    x = 18.44

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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.