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Finding the Fourth Proportional to 101.92, 152.83 and 37.75

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Solution

The fourth proportional to 101.92, 152.83 and 37.75 is: 56.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 152.83 = 37.75 : x
  2. Step 2: Convert to fraction form
    101.92/152.83 = 37.75/x
  3. Step 3: Cross multiply
    101.92x = 152.83 × 37.75
  4. Step 4: Simplify right side
    101.92x = 5,769.33
  5. Step 5: Solve for x
    x = 5,769.33/101.92
  6. Step 6: Final answer
    x = 56.61

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