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Finding the Fourth Proportional to 37.66, 51.85 and 32.12

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Solution

The fourth proportional to 37.66, 51.85 and 32.12 is: 44.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.66 : 51.85 = 32.12 : x
  2. Step 2: Convert to fraction form
    37.66/51.85 = 32.12/x
  3. Step 3: Cross multiply
    37.66x = 51.85 × 32.12
  4. Step 4: Simplify right side
    37.66x = 1,665.16
  5. Step 5: Solve for x
    x = 1,665.16/37.66
  6. Step 6: Final answer
    x = 44.22

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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.