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Finding the Fourth Proportional to 33.05, 45.59 and 23.82

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Solution

The fourth proportional to 33.05, 45.59 and 23.82 is: 32.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.05 : 45.59 = 23.82 : x
  2. Step 2: Convert to fraction form
    33.05/45.59 = 23.82/x
  3. Step 3: Cross multiply
    33.05x = 45.59 × 23.82
  4. Step 4: Simplify right side
    33.05x = 1,085.83
  5. Step 5: Solve for x
    x = 1,085.83/33.05
  6. Step 6: Final answer
    x = 32.86

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Why These Related Problems?

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