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Finding the Fourth Proportional to 120.72, 180.98 and 59.78

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Solution

The fourth proportional to 120.72, 180.98 and 59.78 is: 89.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 180.98 = 59.78 : x
  2. Step 2: Convert to fraction form
    120.72/180.98 = 59.78/x
  3. Step 3: Cross multiply
    120.72x = 180.98 × 59.78
  4. Step 4: Simplify right side
    120.72x = 10,818.98
  5. Step 5: Solve for x
    x = 10,818.98/120.72
  6. Step 6: Final answer
    x = 89.62

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