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Finding the Fourth Proportional to 77.26, 115.91 and 46.44

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Solution

The fourth proportional to 77.26, 115.91 and 46.44 is: 69.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.26 : 115.91 = 46.44 : x
  2. Step 2: Convert to fraction form
    77.26/115.91 = 46.44/x
  3. Step 3: Cross multiply
    77.26x = 115.91 × 46.44
  4. Step 4: Simplify right side
    77.26x = 5,382.86
  5. Step 5: Solve for x
    x = 5,382.86/77.26
  6. Step 6: Final answer
    x = 69.67

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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.