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Finding the Fourth Proportional to 102.06, 140.84 and 55.43

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Solution

The fourth proportional to 102.06, 140.84 and 55.43 is: 76.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.84 = 55.43 : x
  2. Step 2: Convert to fraction form
    102.06/140.84 = 55.43/x
  3. Step 3: Cross multiply
    102.06x = 140.84 × 55.43
  4. Step 4: Simplify right side
    102.06x = 7,807.07
  5. Step 5: Solve for x
    x = 7,807.07/102.06
  6. Step 6: Final answer
    x = 76.50

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