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Finding the Fourth Proportional to 33.65, 50.25 and 28.58

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Solution

The fourth proportional to 33.65, 50.25 and 28.58 is: 42.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.65 : 50.25 = 28.58 : x
  2. Step 2: Convert to fraction form
    33.65/50.25 = 28.58/x
  3. Step 3: Cross multiply
    33.65x = 50.25 × 28.58
  4. Step 4: Simplify right side
    33.65x = 1,436.15
  5. Step 5: Solve for x
    x = 1,436.15/33.65
  6. Step 6: Final answer
    x = 42.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.