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Finding the Fourth Proportional to 78.88, 118.34 and 30.80

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Solution

The fourth proportional to 78.88, 118.34 and 30.80 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.88 : 118.34 = 30.80 : x
  2. Step 2: Convert to fraction form
    78.88/118.34 = 30.80/x
  3. Step 3: Cross multiply
    78.88x = 118.34 × 30.80
  4. Step 4: Simplify right side
    78.88x = 3,644.87
  5. Step 5: Solve for x
    x = 3,644.87/78.88
  6. Step 6: Final answer
    x = 46.21

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