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Finding the Fourth Proportional to 37.20, 51.32 and 22.64

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Solution

The fourth proportional to 37.20, 51.32 and 22.64 is: 31.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.20 : 51.32 = 22.64 : x
  2. Step 2: Convert to fraction form
    37.20/51.32 = 22.64/x
  3. Step 3: Cross multiply
    37.20x = 51.32 × 22.64
  4. Step 4: Simplify right side
    37.20x = 1,161.52
  5. Step 5: Solve for x
    x = 1,161.52/37.20
  6. Step 6: Final answer
    x = 31.22

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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.