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Finding the Fourth Proportional to 78.68, 107.96 and 76.26

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Solution

The fourth proportional to 78.68, 107.96 and 76.26 is: 104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 107.96 = 76.26 : x
  2. Step 2: Convert to fraction form
    78.68/107.96 = 76.26/x
  3. Step 3: Cross multiply
    78.68x = 107.96 × 76.26
  4. Step 4: Simplify right side
    78.68x = 8,233.03
  5. Step 5: Solve for x
    x = 8,233.03/78.68
  6. Step 6: Final answer
    x = 104.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.