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Finding the Fourth Proportional to 97.74, 146.43 and 77.40

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Solution

The fourth proportional to 97.74, 146.43 and 77.40 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.74 : 146.43 = 77.40 : x
  2. Step 2: Convert to fraction form
    97.74/146.43 = 77.40/x
  3. Step 3: Cross multiply
    97.74x = 146.43 × 77.40
  4. Step 4: Simplify right side
    97.74x = 11,333.68
  5. Step 5: Solve for x
    x = 11,333.68/97.74
  6. Step 6: Final answer
    x = 115.96

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