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Finding the Fourth Proportional to 160.98, 222 and 105.78

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Solution

The fourth proportional to 160.98, 222 and 105.78 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.98 : 222 = 105.78 : x
  2. Step 2: Convert to fraction form
    160.98/222 = 105.78/x
  3. Step 3: Cross multiply
    160.98x = 222 × 105.78
  4. Step 4: Simplify right side
    160.98x = 23,483.16
  5. Step 5: Solve for x
    x = 23,483.16/160.98
  6. Step 6: Final answer
    x = 145.88

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