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Finding the Fourth Proportional to 171, 256.68 and 106.07

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Solution

The fourth proportional to 171, 256.68 and 106.07 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 256.68 = 106.07 : x
  2. Step 2: Convert to fraction form
    171/256.68 = 106.07/x
  3. Step 3: Cross multiply
    171x = 256.68 × 106.07
  4. Step 4: Simplify right side
    171x = 27,224.76
  5. Step 5: Solve for x
    x = 27,224.76/171
  6. Step 6: Final answer
    x = 159.21

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