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Finding the Fourth Proportional to 109.78, 164.70 and 92.80

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Solution

The fourth proportional to 109.78, 164.70 and 92.80 is: 139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.78 : 164.70 = 92.80 : x
  2. Step 2: Convert to fraction form
    109.78/164.70 = 92.80/x
  3. Step 3: Cross multiply
    109.78x = 164.70 × 92.80
  4. Step 4: Simplify right side
    109.78x = 15,284.16
  5. Step 5: Solve for x
    x = 15,284.16/109.78
  6. Step 6: Final answer
    x = 139.23

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