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Finding the Fourth Proportional to 117.78, 176.15 and 102.80

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Solution

The fourth proportional to 117.78, 176.15 and 102.80 is: 153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 176.15 = 102.80 : x
  2. Step 2: Convert to fraction form
    117.78/176.15 = 102.80/x
  3. Step 3: Cross multiply
    117.78x = 176.15 × 102.80
  4. Step 4: Simplify right side
    117.78x = 18,106.83
  5. Step 5: Solve for x
    x = 18,106.83/117.78
  6. Step 6: Final answer
    x = 153.73

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