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Finding the Fourth Proportional to 12.30, 18.41 and 7.74

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Solution

The fourth proportional to 12.30, 18.41 and 7.74 is: 11.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.30 : 18.41 = 7.74 : x
  2. Step 2: Convert to fraction form
    12.30/18.41 = 7.74/x
  3. Step 3: Cross multiply
    12.30x = 18.41 × 7.74
  4. Step 4: Simplify right side
    12.30x = 142.49
  5. Step 5: Solve for x
    x = 142.49/12.30
  6. Step 6: Final answer
    x = 11.58

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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.