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Finding the Fourth Proportional to 12.84, 19.13 and 12.13

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Solution

The fourth proportional to 12.84, 19.13 and 12.13 is: 18.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.84 : 19.13 = 12.13 : x
  2. Step 2: Convert to fraction form
    12.84/19.13 = 12.13/x
  3. Step 3: Cross multiply
    12.84x = 19.13 × 12.13
  4. Step 4: Simplify right side
    12.84x = 232.05
  5. Step 5: Solve for x
    x = 232.05/12.84
  6. Step 6: Final answer
    x = 18.07

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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.