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Finding the Fourth Proportional to 77.20, 115.74 and 46.82

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Solution

The fourth proportional to 77.20, 115.74 and 46.82 is: 70.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 115.74 = 46.82 : x
  2. Step 2: Convert to fraction form
    77.20/115.74 = 46.82/x
  3. Step 3: Cross multiply
    77.20x = 115.74 × 46.82
  4. Step 4: Simplify right side
    77.20x = 5,418.95
  5. Step 5: Solve for x
    x = 5,418.95/77.20
  6. Step 6: Final answer
    x = 70.19

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