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Finding the Fourth Proportional to 102.06, 140.76 and 75.78

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Solution

The fourth proportional to 102.06, 140.76 and 75.78 is: 104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.76 = 75.78 : x
  2. Step 2: Convert to fraction form
    102.06/140.76 = 75.78/x
  3. Step 3: Cross multiply
    102.06x = 140.76 × 75.78
  4. Step 4: Simplify right side
    102.06x = 10,666.79
  5. Step 5: Solve for x
    x = 10,666.79/102.06
  6. Step 6: Final answer
    x = 104.51

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