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Finding the Fourth Proportional to 41.74, 57.35 and 37.69

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Solution

The fourth proportional to 41.74, 57.35 and 37.69 is: 51.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.74 : 57.35 = 37.69 : x
  2. Step 2: Convert to fraction form
    41.74/57.35 = 37.69/x
  3. Step 3: Cross multiply
    41.74x = 57.35 × 37.69
  4. Step 4: Simplify right side
    41.74x = 2,161.47
  5. Step 5: Solve for x
    x = 2,161.47/41.74
  6. Step 6: Final answer
    x = 51.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.