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Finding the Fourth Proportional to 120, 179.88 and 65.84

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Solution

The fourth proportional to 120, 179.88 and 65.84 is: 98.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 179.88 = 65.84 : x
  2. Step 2: Convert to fraction form
    120/179.88 = 65.84/x
  3. Step 3: Cross multiply
    120x = 179.88 × 65.84
  4. Step 4: Simplify right side
    120x = 11,843.30
  5. Step 5: Solve for x
    x = 11,843.30/120
  6. Step 6: Final answer
    x = 98.69

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