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Finding the Fourth Proportional to 77.80, 107.48 and 55.64

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Solution

The fourth proportional to 77.80, 107.48 and 55.64 is: 76.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.80 : 107.48 = 55.64 : x
  2. Step 2: Convert to fraction form
    77.80/107.48 = 55.64/x
  3. Step 3: Cross multiply
    77.80x = 107.48 × 55.64
  4. Step 4: Simplify right side
    77.80x = 5,980.19
  5. Step 5: Solve for x
    x = 5,980.19/77.80
  6. Step 6: Final answer
    x = 76.87

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