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Finding the Fourth Proportional to 18.23, 27.36 and 9.20

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Solution

The fourth proportional to 18.23, 27.36 and 9.20 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.23 : 27.36 = 9.20 : x
  2. Step 2: Convert to fraction form
    18.23/27.36 = 9.20/x
  3. Step 3: Cross multiply
    18.23x = 27.36 × 9.20
  4. Step 4: Simplify right side
    18.23x = 251.78
  5. Step 5: Solve for x
    x = 251.78/18.23
  6. Step 6: Final answer
    x = 13.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.