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Finding the Fourth Proportional to 18.40, 27.63 and 7.72

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Solution

The fourth proportional to 18.40, 27.63 and 7.72 is: 11.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.40 : 27.63 = 7.72 : x
  2. Step 2: Convert to fraction form
    18.40/27.63 = 7.72/x
  3. Step 3: Cross multiply
    18.40x = 27.63 × 7.72
  4. Step 4: Simplify right side
    18.40x = 213.30
  5. Step 5: Solve for x
    x = 213.30/18.40
  6. Step 6: Final answer
    x = 11.59

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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.