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Finding the Fourth Proportional to 120.78, 180.84 and 98.88

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Solution

The fourth proportional to 120.78, 180.84 and 98.88 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 180.84 = 98.88 : x
  2. Step 2: Convert to fraction form
    120.78/180.84 = 98.88/x
  3. Step 3: Cross multiply
    120.78x = 180.84 × 98.88
  4. Step 4: Simplify right side
    120.78x = 17,881.46
  5. Step 5: Solve for x
    x = 17,881.46/120.78
  6. Step 6: Final answer
    x = 148.05

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