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Finding the Fourth Proportional to 103.50, 142.43 and 78.84

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Solution

The fourth proportional to 103.50, 142.43 and 78.84 is: 108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 142.43 = 78.84 : x
  2. Step 2: Convert to fraction form
    103.50/142.43 = 78.84/x
  3. Step 3: Cross multiply
    103.50x = 142.43 × 78.84
  4. Step 4: Simplify right side
    103.50x = 11,228.79
  5. Step 5: Solve for x
    x = 11,228.79/103.50
  6. Step 6: Final answer
    x = 108.49

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