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Finding the Fourth Proportional to 160.06, 240.11 and 77.84

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Solution

The fourth proportional to 160.06, 240.11 and 77.84 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.06 : 240.11 = 77.84 : x
  2. Step 2: Convert to fraction form
    160.06/240.11 = 77.84/x
  3. Step 3: Cross multiply
    160.06x = 240.11 × 77.84
  4. Step 4: Simplify right side
    160.06x = 18,690.16
  5. Step 5: Solve for x
    x = 18,690.16/160.06
  6. Step 6: Final answer
    x = 116.77

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