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Finding the Fourth Proportional to 75.82, 104.60 and 54.02

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Solution

The fourth proportional to 75.82, 104.60 and 54.02 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.82 : 104.60 = 54.02 : x
  2. Step 2: Convert to fraction form
    75.82/104.60 = 54.02/x
  3. Step 3: Cross multiply
    75.82x = 104.60 × 54.02
  4. Step 4: Simplify right side
    75.82x = 5,650.49
  5. Step 5: Solve for x
    x = 5,650.49/75.82
  6. Step 6: Final answer
    x = 74.53

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