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Finding the Fourth Proportional to 120.77, 166.56 and 100.25

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Solution

The fourth proportional to 120.77, 166.56 and 100.25 is: 138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.77 : 166.56 = 100.25 : x
  2. Step 2: Convert to fraction form
    120.77/166.56 = 100.25/x
  3. Step 3: Cross multiply
    120.77x = 166.56 × 100.25
  4. Step 4: Simplify right side
    120.77x = 16,697.64
  5. Step 5: Solve for x
    x = 16,697.64/120.77
  6. Step 6: Final answer
    x = 138.26

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