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Finding the Fourth Proportional to 12.24, 18.36 and 4.22

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Solution

The fourth proportional to 12.24, 18.36 and 4.22 is: 6.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.24 : 18.36 = 4.22 : x
  2. Step 2: Convert to fraction form
    12.24/18.36 = 4.22/x
  3. Step 3: Cross multiply
    12.24x = 18.36 × 4.22
  4. Step 4: Simplify right side
    12.24x = 77.53
  5. Step 5: Solve for x
    x = 77.53/12.24
  6. Step 6: Final answer
    x = 6.33

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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.