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Finding the Fourth Proportional to 71.23, 106.78 and 24.92

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Solution

The fourth proportional to 71.23, 106.78 and 24.92 is: 37.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.23 : 106.78 = 24.92 : x
  2. Step 2: Convert to fraction form
    71.23/106.78 = 24.92/x
  3. Step 3: Cross multiply
    71.23x = 106.78 × 24.92
  4. Step 4: Simplify right side
    71.23x = 2,661.46
  5. Step 5: Solve for x
    x = 2,661.46/71.23
  6. Step 6: Final answer
    x = 37.36

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