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Finding the Fourth Proportional to 109.99, 164.74 and 90.69

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Solution

The fourth proportional to 109.99, 164.74 and 90.69 is: 135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.99 : 164.74 = 90.69 : x
  2. Step 2: Convert to fraction form
    109.99/164.74 = 90.69/x
  3. Step 3: Cross multiply
    109.99x = 164.74 × 90.69
  4. Step 4: Simplify right side
    109.99x = 14,940.27
  5. Step 5: Solve for x
    x = 14,940.27/109.99
  6. Step 6: Final answer
    x = 135.83

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