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Finding the Fourth Proportional to 36.14, 49.90 and 24.50

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Solution

The fourth proportional to 36.14, 49.90 and 24.50 is: 33.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.14 : 49.90 = 24.50 : x
  2. Step 2: Convert to fraction form
    36.14/49.90 = 24.50/x
  3. Step 3: Cross multiply
    36.14x = 49.90 × 24.50
  4. Step 4: Simplify right side
    36.14x = 1,222.55
  5. Step 5: Solve for x
    x = 1,222.55/36.14
  6. Step 6: Final answer
    x = 33.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.