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Finding the Fourth Proportional to 103.85, 155.77 and 31.76

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Solution

The fourth proportional to 103.85, 155.77 and 31.76 is: 47.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.85 : 155.77 = 31.76 : x
  2. Step 2: Convert to fraction form
    103.85/155.77 = 31.76/x
  3. Step 3: Cross multiply
    103.85x = 155.77 × 31.76
  4. Step 4: Simplify right side
    103.85x = 4,946.32
  5. Step 5: Solve for x
    x = 4,946.32/103.85
  6. Step 6: Final answer
    x = 47.63

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