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Finding the Fourth Proportional to 37.72, 52.12 and 36.64

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Solution

The fourth proportional to 37.72, 52.12 and 36.64 is: 50.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.72 : 52.12 = 36.64 : x
  2. Step 2: Convert to fraction form
    37.72/52.12 = 36.64/x
  3. Step 3: Cross multiply
    37.72x = 52.12 × 36.64
  4. Step 4: Simplify right side
    37.72x = 1,909.68
  5. Step 5: Solve for x
    x = 1,909.68/37.72
  6. Step 6: Final answer
    x = 50.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.