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Finding the Fourth Proportional to 107.64, 148.64 and 85.96

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Solution

The fourth proportional to 107.64, 148.64 and 85.96 is: 118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 148.64 = 85.96 : x
  2. Step 2: Convert to fraction form
    107.64/148.64 = 85.96/x
  3. Step 3: Cross multiply
    107.64x = 148.64 × 85.96
  4. Step 4: Simplify right side
    107.64x = 12,777.09
  5. Step 5: Solve for x
    x = 12,777.09/107.64
  6. Step 6: Final answer
    x = 118.70

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