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Finding the Fourth Proportional to 100.05, 137.86 and 76.73

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Solution

The fourth proportional to 100.05, 137.86 and 76.73 is: 105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.05 : 137.86 = 76.73 : x
  2. Step 2: Convert to fraction form
    100.05/137.86 = 76.73/x
  3. Step 3: Cross multiply
    100.05x = 137.86 × 76.73
  4. Step 4: Simplify right side
    100.05x = 10,578.15
  5. Step 5: Solve for x
    x = 10,578.15/100.05
  6. Step 6: Final answer
    x = 105.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.