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Finding the Fourth Proportional to 73.82, 110.75 and 37.74

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Solution

The fourth proportional to 73.82, 110.75 and 37.74 is: 56.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.82 : 110.75 = 37.74 : x
  2. Step 2: Convert to fraction form
    73.82/110.75 = 37.74/x
  3. Step 3: Cross multiply
    73.82x = 110.75 × 37.74
  4. Step 4: Simplify right side
    73.82x = 4,179.52
  5. Step 5: Solve for x
    x = 4,179.52/73.82
  6. Step 6: Final answer
    x = 56.62

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