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Finding the Fourth Proportional to 33.35, 45.85 and 30.05

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Solution

The fourth proportional to 33.35, 45.85 and 30.05 is: 41.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.35 : 45.85 = 30.05 : x
  2. Step 2: Convert to fraction form
    33.35/45.85 = 30.05/x
  3. Step 3: Cross multiply
    33.35x = 45.85 × 30.05
  4. Step 4: Simplify right side
    33.35x = 1,377.64
  5. Step 5: Solve for x
    x = 1,377.64/33.35
  6. Step 6: Final answer
    x = 41.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.