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Finding the Fourth Proportional to 120.83, 181.04 and 55.76

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Solution

The fourth proportional to 120.83, 181.04 and 55.76 is: 83.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.83 : 181.04 = 55.76 : x
  2. Step 2: Convert to fraction form
    120.83/181.04 = 55.76/x
  3. Step 3: Cross multiply
    120.83x = 181.04 × 55.76
  4. Step 4: Simplify right side
    120.83x = 10,094.02
  5. Step 5: Solve for x
    x = 10,094.02/120.83
  6. Step 6: Final answer
    x = 83.54

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