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Finding the Fourth Proportional to 12.74, 19.22 and 12.02

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Solution

The fourth proportional to 12.74, 19.22 and 12.02 is: 18.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.74 : 19.22 = 12.02 : x
  2. Step 2: Convert to fraction form
    12.74/19.22 = 12.02/x
  3. Step 3: Cross multiply
    12.74x = 19.22 × 12.02
  4. Step 4: Simplify right side
    12.74x = 230.87
  5. Step 5: Solve for x
    x = 230.87/12.74
  6. Step 6: Final answer
    x = 18.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.