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Finding the Fourth Proportional to 36.63, 55.14 and 33.50

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Solution

The fourth proportional to 36.63, 55.14 and 33.50 is: 50.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 55.14 = 33.50 : x
  2. Step 2: Convert to fraction form
    36.63/55.14 = 33.50/x
  3. Step 3: Cross multiply
    36.63x = 55.14 × 33.50
  4. Step 4: Simplify right side
    36.63x = 1,846.91
  5. Step 5: Solve for x
    x = 1,846.91/36.63
  6. Step 6: Final answer
    x = 50.42

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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.