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Finding the Fourth Proportional to 18.36, 27.51 and 7.66

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Solution

The fourth proportional to 18.36, 27.51 and 7.66 is: 11.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.36 : 27.51 = 7.66 : x
  2. Step 2: Convert to fraction form
    18.36/27.51 = 7.66/x
  3. Step 3: Cross multiply
    18.36x = 27.51 × 7.66
  4. Step 4: Simplify right side
    18.36x = 210.73
  5. Step 5: Solve for x
    x = 210.73/18.36
  6. Step 6: Final answer
    x = 11.48

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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.