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Finding the Fourth Proportional to 36.12, 53.84 and 33.80

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Solution

The fourth proportional to 36.12, 53.84 and 33.80 is: 50.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.12 : 53.84 = 33.80 : x
  2. Step 2: Convert to fraction form
    36.12/53.84 = 33.80/x
  3. Step 3: Cross multiply
    36.12x = 53.84 × 33.80
  4. Step 4: Simplify right side
    36.12x = 1,819.79
  5. Step 5: Solve for x
    x = 1,819.79/36.12
  6. Step 6: Final answer
    x = 50.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.