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Finding the Fourth Proportional to 171.88, 257.64 and 75.64

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Solution

The fourth proportional to 171.88, 257.64 and 75.64 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 257.64 = 75.64 : x
  2. Step 2: Convert to fraction form
    171.88/257.64 = 75.64/x
  3. Step 3: Cross multiply
    171.88x = 257.64 × 75.64
  4. Step 4: Simplify right side
    171.88x = 19,487.89
  5. Step 5: Solve for x
    x = 19,487.89/171.88
  6. Step 6: Final answer
    x = 113.38

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