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Finding the Fourth Proportional to 45.77, 68.92 and 33.83

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Solution

The fourth proportional to 45.77, 68.92 and 33.83 is: 50.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.77 : 68.92 = 33.83 : x
  2. Step 2: Convert to fraction form
    45.77/68.92 = 33.83/x
  3. Step 3: Cross multiply
    45.77x = 68.92 × 33.83
  4. Step 4: Simplify right side
    45.77x = 2,331.65
  5. Step 5: Solve for x
    x = 2,331.65/45.77
  6. Step 6: Final answer
    x = 50.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.