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Finding the Fourth Proportional to 33.84, 50.64 and 28.98

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Solution

The fourth proportional to 33.84, 50.64 and 28.98 is: 43.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 50.64 = 28.98 : x
  2. Step 2: Convert to fraction form
    33.84/50.64 = 28.98/x
  3. Step 3: Cross multiply
    33.84x = 50.64 × 28.98
  4. Step 4: Simplify right side
    33.84x = 1,467.55
  5. Step 5: Solve for x
    x = 1,467.55/33.84
  6. Step 6: Final answer
    x = 43.37

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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.