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Finding the Fourth Proportional to 76.94, 105.92 and 68.18

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Solution

The fourth proportional to 76.94, 105.92 and 68.18 is: 93.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.94 : 105.92 = 68.18 : x
  2. Step 2: Convert to fraction form
    76.94/105.92 = 68.18/x
  3. Step 3: Cross multiply
    76.94x = 105.92 × 68.18
  4. Step 4: Simplify right side
    76.94x = 7,221.63
  5. Step 5: Solve for x
    x = 7,221.63/76.94
  6. Step 6: Final answer
    x = 93.86

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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.