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Finding the Fourth Proportional to 102.04, 140.84 and 85.64

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Solution

The fourth proportional to 102.04, 140.84 and 85.64 is: 118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 140.84 = 85.64 : x
  2. Step 2: Convert to fraction form
    102.04/140.84 = 85.64/x
  3. Step 3: Cross multiply
    102.04x = 140.84 × 85.64
  4. Step 4: Simplify right side
    102.04x = 12,061.54
  5. Step 5: Solve for x
    x = 12,061.54/102.04
  6. Step 6: Final answer
    x = 118.20

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