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Finding the Fourth Proportional to 37.72, 56.46 and 32.92

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Solution

The fourth proportional to 37.72, 56.46 and 32.92 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.72 : 56.46 = 32.92 : x
  2. Step 2: Convert to fraction form
    37.72/56.46 = 32.92/x
  3. Step 3: Cross multiply
    37.72x = 56.46 × 32.92
  4. Step 4: Simplify right side
    37.72x = 1,858.66
  5. Step 5: Solve for x
    x = 1,858.66/37.72
  6. Step 6: Final answer
    x = 49.28

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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.