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Finding the Fourth Proportional to 118.29, 177.31 and 77.74

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Solution

The fourth proportional to 118.29, 177.31 and 77.74 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.29 : 177.31 = 77.74 : x
  2. Step 2: Convert to fraction form
    118.29/177.31 = 77.74/x
  3. Step 3: Cross multiply
    118.29x = 177.31 × 77.74
  4. Step 4: Simplify right side
    118.29x = 13,784.08
  5. Step 5: Solve for x
    x = 13,784.08/118.29
  6. Step 6: Final answer
    x = 116.53

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