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Finding the Fourth Proportional to 24.62, 33.90 and 24.12

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Solution

The fourth proportional to 24.62, 33.90 and 24.12 is: 33.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.62 : 33.90 = 24.12 : x
  2. Step 2: Convert to fraction form
    24.62/33.90 = 24.12/x
  3. Step 3: Cross multiply
    24.62x = 33.90 × 24.12
  4. Step 4: Simplify right side
    24.62x = 817.67
  5. Step 5: Solve for x
    x = 817.67/24.62
  6. Step 6: Final answer
    x = 33.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.