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Finding the Fourth Proportional to 103.85, 155.76 and 78.21

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Solution

The fourth proportional to 103.85, 155.76 and 78.21 is: 117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.85 : 155.76 = 78.21 : x
  2. Step 2: Convert to fraction form
    103.85/155.76 = 78.21/x
  3. Step 3: Cross multiply
    103.85x = 155.76 × 78.21
  4. Step 4: Simplify right side
    103.85x = 12,182.38
  5. Step 5: Solve for x
    x = 12,182.38/103.85
  6. Step 6: Final answer
    x = 117.30

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