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Finding the Fourth Proportional to 69.83, 104.69 and 51.81

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Solution

The fourth proportional to 69.83, 104.69 and 51.81 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.83 : 104.69 = 51.81 : x
  2. Step 2: Convert to fraction form
    69.83/104.69 = 51.81/x
  3. Step 3: Cross multiply
    69.83x = 104.69 × 51.81
  4. Step 4: Simplify right side
    69.83x = 5,423.73
  5. Step 5: Solve for x
    x = 5,423.73/69.83
  6. Step 6: Final answer
    x = 77.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.