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Finding the Fourth Proportional to 120.58, 180.82 and 52.06

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Solution

The fourth proportional to 120.58, 180.82 and 52.06 is: 78.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.58 : 180.82 = 52.06 : x
  2. Step 2: Convert to fraction form
    120.58/180.82 = 52.06/x
  3. Step 3: Cross multiply
    120.58x = 180.82 × 52.06
  4. Step 4: Simplify right side
    120.58x = 9,413.49
  5. Step 5: Solve for x
    x = 9,413.49/120.58
  6. Step 6: Final answer
    x = 78.07

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