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Finding the Fourth Proportional to 119.52, 164.86 and 75.78

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Solution

The fourth proportional to 119.52, 164.86 and 75.78 is: 104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.52 : 164.86 = 75.78 : x
  2. Step 2: Convert to fraction form
    119.52/164.86 = 75.78/x
  3. Step 3: Cross multiply
    119.52x = 164.86 × 75.78
  4. Step 4: Simplify right side
    119.52x = 12,492.27
  5. Step 5: Solve for x
    x = 12,492.27/119.52
  6. Step 6: Final answer
    x = 104.52

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