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Finding the Fourth Proportional to 46.09, 69.41 and 33.34

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Solution

The fourth proportional to 46.09, 69.41 and 33.34 is: 50.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.09 : 69.41 = 33.34 : x
  2. Step 2: Convert to fraction form
    46.09/69.41 = 33.34/x
  3. Step 3: Cross multiply
    46.09x = 69.41 × 33.34
  4. Step 4: Simplify right side
    46.09x = 2,314.05
  5. Step 5: Solve for x
    x = 2,314.05/46.09
  6. Step 6: Final answer
    x = 50.21

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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.