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Finding the Fourth Proportional to 78.17, 107.82 and 67.79

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Solution

The fourth proportional to 78.17, 107.82 and 67.79 is: 93.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.17 : 107.82 = 67.79 : x
  2. Step 2: Convert to fraction form
    78.17/107.82 = 67.79/x
  3. Step 3: Cross multiply
    78.17x = 107.82 × 67.79
  4. Step 4: Simplify right side
    78.17x = 7,308.92
  5. Step 5: Solve for x
    x = 7,308.92/78.17
  6. Step 6: Final answer
    x = 93.50

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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.