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Finding the Fourth Proportional to 78.06, 107.64 and 66.46

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Solution

The fourth proportional to 78.06, 107.64 and 66.46 is: 91.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 107.64 = 66.46 : x
  2. Step 2: Convert to fraction form
    78.06/107.64 = 66.46/x
  3. Step 3: Cross multiply
    78.06x = 107.64 × 66.46
  4. Step 4: Simplify right side
    78.06x = 7,153.75
  5. Step 5: Solve for x
    x = 7,153.75/78.06
  6. Step 6: Final answer
    x = 91.64

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