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Finding the Fourth Proportional to 51.67, 77.50 and 33.67

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Solution

The fourth proportional to 51.67, 77.50 and 33.67 is: 50.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.67 : 77.50 = 33.67 : x
  2. Step 2: Convert to fraction form
    51.67/77.50 = 33.67/x
  3. Step 3: Cross multiply
    51.67x = 77.50 × 33.67
  4. Step 4: Simplify right side
    51.67x = 2,609.27
  5. Step 5: Solve for x
    x = 2,609.27/51.67
  6. Step 6: Final answer
    x = 50.50

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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.