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Finding the Fourth Proportional to 37.72, 51.87 and 32.86

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Solution

The fourth proportional to 37.72, 51.87 and 32.86 is: 45.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.72 : 51.87 = 32.86 : x
  2. Step 2: Convert to fraction form
    37.72/51.87 = 32.86/x
  3. Step 3: Cross multiply
    37.72x = 51.87 × 32.86
  4. Step 4: Simplify right side
    37.72x = 1,704.45
  5. Step 5: Solve for x
    x = 1,704.45/37.72
  6. Step 6: Final answer
    x = 45.19

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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.