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Finding the Fourth Proportional to 77.24, 115.64 and 64.28

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Solution

The fourth proportional to 77.24, 115.64 and 64.28 is: 96.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.24 : 115.64 = 64.28 : x
  2. Step 2: Convert to fraction form
    77.24/115.64 = 64.28/x
  3. Step 3: Cross multiply
    77.24x = 115.64 × 64.28
  4. Step 4: Simplify right side
    77.24x = 7,433.34
  5. Step 5: Solve for x
    x = 7,433.34/77.24
  6. Step 6: Final answer
    x = 96.24

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