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Finding the Fourth Proportional to 171, 256.92 and 89.88

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Solution

The fourth proportional to 171, 256.92 and 89.88 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 256.92 = 89.88 : x
  2. Step 2: Convert to fraction form
    171/256.92 = 89.88/x
  3. Step 3: Cross multiply
    171x = 256.92 × 89.88
  4. Step 4: Simplify right side
    171x = 23,091.97
  5. Step 5: Solve for x
    x = 23,091.97/171
  6. Step 6: Final answer
    x = 135.04

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