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Finding the Fourth Proportional to 37.43, 51.64 and 22.86

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Solution

The fourth proportional to 37.43, 51.64 and 22.86 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.43 : 51.64 = 22.86 : x
  2. Step 2: Convert to fraction form
    37.43/51.64 = 22.86/x
  3. Step 3: Cross multiply
    37.43x = 51.64 × 22.86
  4. Step 4: Simplify right side
    37.43x = 1,180.38
  5. Step 5: Solve for x
    x = 1,180.38/37.43
  6. Step 6: Final answer
    x = 31.54

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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.