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Finding the Fourth Proportional to 37.69, 56.46 and 31.56

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Solution

The fourth proportional to 37.69, 56.46 and 31.56 is: 47.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.69 : 56.46 = 31.56 : x
  2. Step 2: Convert to fraction form
    37.69/56.46 = 31.56/x
  3. Step 3: Cross multiply
    37.69x = 56.46 × 31.56
  4. Step 4: Simplify right side
    37.69x = 1,781.52
  5. Step 5: Solve for x
    x = 1,781.52/37.69
  6. Step 6: Final answer
    x = 47.27

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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.