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Finding the Fourth Proportional to 78.05, 117.08 and 34.74

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Solution

The fourth proportional to 78.05, 117.08 and 34.74 is: 52.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.05 : 117.08 = 34.74 : x
  2. Step 2: Convert to fraction form
    78.05/117.08 = 34.74/x
  3. Step 3: Cross multiply
    78.05x = 117.08 × 34.74
  4. Step 4: Simplify right side
    78.05x = 4,067.36
  5. Step 5: Solve for x
    x = 4,067.36/78.05
  6. Step 6: Final answer
    x = 52.11

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