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Finding the Fourth Proportional to 76.80, 115.12 and 67.84

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Solution

The fourth proportional to 76.80, 115.12 and 67.84 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.80 : 115.12 = 67.84 : x
  2. Step 2: Convert to fraction form
    76.80/115.12 = 67.84/x
  3. Step 3: Cross multiply
    76.80x = 115.12 × 67.84
  4. Step 4: Simplify right side
    76.80x = 7,809.74
  5. Step 5: Solve for x
    x = 7,809.74/76.80
  6. Step 6: Final answer
    x = 101.69

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