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Finding the Fourth Proportional to 78.39, 107.94 and 61.96

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Solution

The fourth proportional to 78.39, 107.94 and 61.96 is: 85.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.39 : 107.94 = 61.96 : x
  2. Step 2: Convert to fraction form
    78.39/107.94 = 61.96/x
  3. Step 3: Cross multiply
    78.39x = 107.94 × 61.96
  4. Step 4: Simplify right side
    78.39x = 6,687.96
  5. Step 5: Solve for x
    x = 6,687.96/78.39
  6. Step 6: Final answer
    x = 85.32

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Why These Related Problems?

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