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Finding the Fourth Proportional to 77.04, 114.97 and 68.83

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Solution

The fourth proportional to 77.04, 114.97 and 68.83 is: 102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 114.97 = 68.83 : x
  2. Step 2: Convert to fraction form
    77.04/114.97 = 68.83/x
  3. Step 3: Cross multiply
    77.04x = 114.97 × 68.83
  4. Step 4: Simplify right side
    77.04x = 7,912.47
  5. Step 5: Solve for x
    x = 7,912.47/77.04
  6. Step 6: Final answer
    x = 102.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.