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Finding the Fourth Proportional to 77.81, 116.79 and 57.46

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Solution

The fourth proportional to 77.81, 116.79 and 57.46 is: 86.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.81 : 116.79 = 57.46 : x
  2. Step 2: Convert to fraction form
    77.81/116.79 = 57.46/x
  3. Step 3: Cross multiply
    77.81x = 116.79 × 57.46
  4. Step 4: Simplify right side
    77.81x = 6,710.79
  5. Step 5: Solve for x
    x = 6,710.79/77.81
  6. Step 6: Final answer
    x = 86.25

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