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Finding the Fourth Proportional to 93.82, 140.54 and 77.80

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Solution

The fourth proportional to 93.82, 140.54 and 77.80 is: 116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.82 : 140.54 = 77.80 : x
  2. Step 2: Convert to fraction form
    93.82/140.54 = 77.80/x
  3. Step 3: Cross multiply
    93.82x = 140.54 × 77.80
  4. Step 4: Simplify right side
    93.82x = 10,934.01
  5. Step 5: Solve for x
    x = 10,934.01/93.82
  6. Step 6: Final answer
    x = 116.54

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