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Finding the Fourth Proportional to 12.33, 18.54 and 9.33

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Solution

The fourth proportional to 12.33, 18.54 and 9.33 is: 14.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.33 : 18.54 = 9.33 : x
  2. Step 2: Convert to fraction form
    12.33/18.54 = 9.33/x
  3. Step 3: Cross multiply
    12.33x = 18.54 × 9.33
  4. Step 4: Simplify right side
    12.33x = 172.98
  5. Step 5: Solve for x
    x = 172.98/12.33
  6. Step 6: Final answer
    x = 14.03

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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.