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Finding the Fourth Proportional to 71.20, 106.98 and 40.78

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Solution

The fourth proportional to 71.20, 106.98 and 40.78 is: 61.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.20 : 106.98 = 40.78 : x
  2. Step 2: Convert to fraction form
    71.20/106.98 = 40.78/x
  3. Step 3: Cross multiply
    71.20x = 106.98 × 40.78
  4. Step 4: Simplify right side
    71.20x = 4,362.64
  5. Step 5: Solve for x
    x = 4,362.64/71.20
  6. Step 6: Final answer
    x = 61.27

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