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Finding the Fourth Proportional to 33.84, 50.74 and 30.24

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Solution

The fourth proportional to 33.84, 50.74 and 30.24 is: 45.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 50.74 = 30.24 : x
  2. Step 2: Convert to fraction form
    33.84/50.74 = 30.24/x
  3. Step 3: Cross multiply
    33.84x = 50.74 × 30.24
  4. Step 4: Simplify right side
    33.84x = 1,534.38
  5. Step 5: Solve for x
    x = 1,534.38/33.84
  6. Step 6: Final answer
    x = 45.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.