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Finding the Fourth Proportional to 33.82, 50.93 and 30.04

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Solution

The fourth proportional to 33.82, 50.93 and 30.04 is: 45.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 50.93 = 30.04 : x
  2. Step 2: Convert to fraction form
    33.82/50.93 = 30.04/x
  3. Step 3: Cross multiply
    33.82x = 50.93 × 30.04
  4. Step 4: Simplify right side
    33.82x = 1,529.94
  5. Step 5: Solve for x
    x = 1,529.94/33.82
  6. Step 6: Final answer
    x = 45.24

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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.