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Finding the Fourth Proportional to 22.35, 33.53 and 12.21

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Solution

The fourth proportional to 22.35, 33.53 and 12.21 is: 18.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.35 : 33.53 = 12.21 : x
  2. Step 2: Convert to fraction form
    22.35/33.53 = 12.21/x
  3. Step 3: Cross multiply
    22.35x = 33.53 × 12.21
  4. Step 4: Simplify right side
    22.35x = 409.34
  5. Step 5: Solve for x
    x = 409.34/22.35
  6. Step 6: Final answer
    x = 18.32

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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.