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Finding the Fourth Proportional to 49.75, 74.62 and 13.67

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Solution

The fourth proportional to 49.75, 74.62 and 13.67 is: 20.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.75 : 74.62 = 13.67 : x
  2. Step 2: Convert to fraction form
    49.75/74.62 = 13.67/x
  3. Step 3: Cross multiply
    49.75x = 74.62 × 13.67
  4. Step 4: Simplify right side
    49.75x = 1,020.06
  5. Step 5: Solve for x
    x = 1,020.06/49.75
  6. Step 6: Final answer
    x = 20.50

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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.