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Finding the Fourth Proportional to 18.78, 25.92 and 12.66

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Solution

The fourth proportional to 18.78, 25.92 and 12.66 is: 17.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.78 : 25.92 = 12.66 : x
  2. Step 2: Convert to fraction form
    18.78/25.92 = 12.66/x
  3. Step 3: Cross multiply
    18.78x = 25.92 × 12.66
  4. Step 4: Simplify right side
    18.78x = 328.15
  5. Step 5: Solve for x
    x = 328.15/18.78
  6. Step 6: Final answer
    x = 17.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.