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Finding the Fourth Proportional to 120.64, 180.98 and 39.45

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Solution

The fourth proportional to 120.64, 180.98 and 39.45 is: 59.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.64 : 180.98 = 39.45 : x
  2. Step 2: Convert to fraction form
    120.64/180.98 = 39.45/x
  3. Step 3: Cross multiply
    120.64x = 180.98 × 39.45
  4. Step 4: Simplify right side
    120.64x = 7,140.14
  5. Step 5: Solve for x
    x = 7,140.14/120.64
  6. Step 6: Final answer
    x = 59.19

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