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Finding the Fourth Proportional to 180.74, 271.05 and 77.96

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Solution

The fourth proportional to 180.74, 271.05 and 77.96 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.74 : 271.05 = 77.96 : x
  2. Step 2: Convert to fraction form
    180.74/271.05 = 77.96/x
  3. Step 3: Cross multiply
    180.74x = 271.05 × 77.96
  4. Step 4: Simplify right side
    180.74x = 21,131.06
  5. Step 5: Solve for x
    x = 21,131.06/180.74
  6. Step 6: Final answer
    x = 116.91

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