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Finding the Fourth Proportional to 102.08, 140.92 and 74.48

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Solution

The fourth proportional to 102.08, 140.92 and 74.48 is: 102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.08 : 140.92 = 74.48 : x
  2. Step 2: Convert to fraction form
    102.08/140.92 = 74.48/x
  3. Step 3: Cross multiply
    102.08x = 140.92 × 74.48
  4. Step 4: Simplify right side
    102.08x = 10,495.72
  5. Step 5: Solve for x
    x = 10,495.72/102.08
  6. Step 6: Final answer
    x = 102.82

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