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Finding the Fourth Proportional to 120.78, 181.08 and 86.58

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Solution

The fourth proportional to 120.78, 181.08 and 86.58 is: 129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 181.08 = 86.58 : x
  2. Step 2: Convert to fraction form
    120.78/181.08 = 86.58/x
  3. Step 3: Cross multiply
    120.78x = 181.08 × 86.58
  4. Step 4: Simplify right side
    120.78x = 15,677.91
  5. Step 5: Solve for x
    x = 15,677.91/120.78
  6. Step 6: Final answer
    x = 129.81

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