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Finding the Fourth Proportional to 49.50, 74.22 and 23.83

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Solution

The fourth proportional to 49.50, 74.22 and 23.83 is: 35.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.50 : 74.22 = 23.83 : x
  2. Step 2: Convert to fraction form
    49.50/74.22 = 23.83/x
  3. Step 3: Cross multiply
    49.50x = 74.22 × 23.83
  4. Step 4: Simplify right side
    49.50x = 1,768.66
  5. Step 5: Solve for x
    x = 1,768.66/49.50
  6. Step 6: Final answer
    x = 35.73

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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.