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Finding the Fourth Proportional to 149.92, 206.76 and 105.64

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Solution

The fourth proportional to 149.92, 206.76 and 105.64 is: 145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.92 : 206.76 = 105.64 : x
  2. Step 2: Convert to fraction form
    149.92/206.76 = 105.64/x
  3. Step 3: Cross multiply
    149.92x = 206.76 × 105.64
  4. Step 4: Simplify right side
    149.92x = 21,842.13
  5. Step 5: Solve for x
    x = 21,842.13/149.92
  6. Step 6: Final answer
    x = 145.69

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