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Finding the Fourth Proportional to 151.75, 227.63 and 37.75

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Solution

The fourth proportional to 151.75, 227.63 and 37.75 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.75 : 227.63 = 37.75 : x
  2. Step 2: Convert to fraction form
    151.75/227.63 = 37.75/x
  3. Step 3: Cross multiply
    151.75x = 227.63 × 37.75
  4. Step 4: Simplify right side
    151.75x = 8,593.03
  5. Step 5: Solve for x
    x = 8,593.03/151.75
  6. Step 6: Final answer
    x = 56.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.