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Finding the Fourth Proportional to 52.02, 77.82 and 34.92

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Solution

The fourth proportional to 52.02, 77.82 and 34.92 is: 52.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.02 : 77.82 = 34.92 : x
  2. Step 2: Convert to fraction form
    52.02/77.82 = 34.92/x
  3. Step 3: Cross multiply
    52.02x = 77.82 × 34.92
  4. Step 4: Simplify right side
    52.02x = 2,717.47
  5. Step 5: Solve for x
    x = 2,717.47/52.02
  6. Step 6: Final answer
    x = 52.24

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