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Finding the Fourth Proportional to 78.94, 118.43 and 33.27

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Solution

The fourth proportional to 78.94, 118.43 and 33.27 is: 49.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.94 : 118.43 = 33.27 : x
  2. Step 2: Convert to fraction form
    78.94/118.43 = 33.27/x
  3. Step 3: Cross multiply
    78.94x = 118.43 × 33.27
  4. Step 4: Simplify right side
    78.94x = 3,940.17
  5. Step 5: Solve for x
    x = 3,940.17/78.94
  6. Step 6: Final answer
    x = 49.91

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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.