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Finding the Fourth Proportional to 70.83, 106.31 and 67.84

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Solution

The fourth proportional to 70.83, 106.31 and 67.84 is: 101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.83 : 106.31 = 67.84 : x
  2. Step 2: Convert to fraction form
    70.83/106.31 = 67.84/x
  3. Step 3: Cross multiply
    70.83x = 106.31 × 67.84
  4. Step 4: Simplify right side
    70.83x = 7,211.97
  5. Step 5: Solve for x
    x = 7,211.97/70.83
  6. Step 6: Final answer
    x = 101.82

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