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Finding the Fourth Proportional to 116.86, 175.35 and 82.84

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Solution

The fourth proportional to 116.86, 175.35 and 82.84 is: 124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.86 : 175.35 = 82.84 : x
  2. Step 2: Convert to fraction form
    116.86/175.35 = 82.84/x
  3. Step 3: Cross multiply
    116.86x = 175.35 × 82.84
  4. Step 4: Simplify right side
    116.86x = 14,526.37
  5. Step 5: Solve for x
    x = 14,526.37/116.86
  6. Step 6: Final answer
    x = 124.30

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