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Finding the Fourth Proportional to 79.94, 120.50 and 78.73

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Solution

The fourth proportional to 79.94, 120.50 and 78.73 is: 118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.94 : 120.50 = 78.73 : x
  2. Step 2: Convert to fraction form
    79.94/120.50 = 78.73/x
  3. Step 3: Cross multiply
    79.94x = 120.50 × 78.73
  4. Step 4: Simplify right side
    79.94x = 9,486.97
  5. Step 5: Solve for x
    x = 9,486.97/79.94
  6. Step 6: Final answer
    x = 118.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.