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Finding the Fourth Proportional to 33.82, 46.55 and 25.61

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Solution

The fourth proportional to 33.82, 46.55 and 25.61 is: 35.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 46.55 = 25.61 : x
  2. Step 2: Convert to fraction form
    33.82/46.55 = 25.61/x
  3. Step 3: Cross multiply
    33.82x = 46.55 × 25.61
  4. Step 4: Simplify right side
    33.82x = 1,191.98
  5. Step 5: Solve for x
    x = 1,191.98/33.82
  6. Step 6: Final answer
    x = 35.25

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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.