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Finding the Fourth Proportional to 97.82, 135.00 and 54.16

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Solution

The fourth proportional to 97.82, 135.00 and 54.16 is: 74.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 135.00 = 54.16 : x
  2. Step 2: Convert to fraction form
    97.82/135.00 = 54.16/x
  3. Step 3: Cross multiply
    97.82x = 135.00 × 54.16
  4. Step 4: Simplify right side
    97.82x = 7,311.33
  5. Step 5: Solve for x
    x = 7,311.33/97.82
  6. Step 6: Final answer
    x = 74.74

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