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Finding the Fourth Proportional to 33.50, 46.02 and 28.31

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Solution

The fourth proportional to 33.50, 46.02 and 28.31 is: 38.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 46.02 = 28.31 : x
  2. Step 2: Convert to fraction form
    33.50/46.02 = 28.31/x
  3. Step 3: Cross multiply
    33.50x = 46.02 × 28.31
  4. Step 4: Simplify right side
    33.50x = 1,302.83
  5. Step 5: Solve for x
    x = 1,302.83/33.50
  6. Step 6: Final answer
    x = 38.89

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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.