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Finding the Fourth Proportional to 138.03, 206.64 and 105.45

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Solution

The fourth proportional to 138.03, 206.64 and 105.45 is: 157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 206.64 = 105.45 : x
  2. Step 2: Convert to fraction form
    138.03/206.64 = 105.45/x
  3. Step 3: Cross multiply
    138.03x = 206.64 × 105.45
  4. Step 4: Simplify right side
    138.03x = 21,790.19
  5. Step 5: Solve for x
    x = 21,790.19/138.03
  6. Step 6: Final answer
    x = 157.87

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