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Finding the Fourth Proportional to 76.76, 105.94 and 66.84

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Solution

The fourth proportional to 76.76, 105.94 and 66.84 is: 92.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.76 : 105.94 = 66.84 : x
  2. Step 2: Convert to fraction form
    76.76/105.94 = 66.84/x
  3. Step 3: Cross multiply
    76.76x = 105.94 × 66.84
  4. Step 4: Simplify right side
    76.76x = 7,081.03
  5. Step 5: Solve for x
    x = 7,081.03/76.76
  6. Step 6: Final answer
    x = 92.25

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