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Finding the Fourth Proportional to 172.02, 257.94 and 75.78

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Solution

The fourth proportional to 172.02, 257.94 and 75.78 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.94 = 75.78 : x
  2. Step 2: Convert to fraction form
    172.02/257.94 = 75.78/x
  3. Step 3: Cross multiply
    172.02x = 257.94 × 75.78
  4. Step 4: Simplify right side
    172.02x = 19,546.69
  5. Step 5: Solve for x
    x = 19,546.69/172.02
  6. Step 6: Final answer
    x = 113.63

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