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Finding the Fourth Proportional to 33.05, 49.61 and 24.05

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Solution

The fourth proportional to 33.05, 49.61 and 24.05 is: 36.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.05 : 49.61 = 24.05 : x
  2. Step 2: Convert to fraction form
    33.05/49.61 = 24.05/x
  3. Step 3: Cross multiply
    33.05x = 49.61 × 24.05
  4. Step 4: Simplify right side
    33.05x = 1,193.30
  5. Step 5: Solve for x
    x = 1,193.30/33.05
  6. Step 6: Final answer
    x = 36.10

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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.