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Finding the Fourth Proportional to 49.93, 68.92 and 33.57

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Solution

The fourth proportional to 49.93, 68.92 and 33.57 is: 46.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.93 : 68.92 = 33.57 : x
  2. Step 2: Convert to fraction form
    49.93/68.92 = 33.57/x
  3. Step 3: Cross multiply
    49.93x = 68.92 × 33.57
  4. Step 4: Simplify right side
    49.93x = 2,313.30
  5. Step 5: Solve for x
    x = 2,313.30/49.93
  6. Step 6: Final answer
    x = 46.33

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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.