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Finding the Fourth Proportional to 109.91, 164.80 and 52.06

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Solution

The fourth proportional to 109.91, 164.80 and 52.06 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.91 : 164.80 = 52.06 : x
  2. Step 2: Convert to fraction form
    109.91/164.80 = 52.06/x
  3. Step 3: Cross multiply
    109.91x = 164.80 × 52.06
  4. Step 4: Simplify right side
    109.91x = 8,578.40
  5. Step 5: Solve for x
    x = 8,578.40/109.91
  6. Step 6: Final answer
    x = 78.05

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