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Finding the Fourth Proportional to 77.15, 115.76 and 33.22

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Solution

The fourth proportional to 77.15, 115.76 and 33.22 is: 49.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.15 : 115.76 = 33.22 : x
  2. Step 2: Convert to fraction form
    77.15/115.76 = 33.22/x
  3. Step 3: Cross multiply
    77.15x = 115.76 × 33.22
  4. Step 4: Simplify right side
    77.15x = 3,845.55
  5. Step 5: Solve for x
    x = 3,845.55/77.15
  6. Step 6: Final answer
    x = 49.85

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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.