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Finding the Fourth Proportional to 129, 193.64 and 77.68

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Solution

The fourth proportional to 129, 193.64 and 77.68 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 193.64 = 77.68 : x
  2. Step 2: Convert to fraction form
    129/193.64 = 77.68/x
  3. Step 3: Cross multiply
    129x = 193.64 × 77.68
  4. Step 4: Simplify right side
    129x = 15,041.96
  5. Step 5: Solve for x
    x = 15,041.96/129
  6. Step 6: Final answer
    x = 116.60

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