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Finding the Fourth Proportional to 37.70, 56.45 and 31.97

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Solution

The fourth proportional to 37.70, 56.45 and 31.97 is: 47.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.70 : 56.45 = 31.97 : x
  2. Step 2: Convert to fraction form
    37.70/56.45 = 31.97/x
  3. Step 3: Cross multiply
    37.70x = 56.45 × 31.97
  4. Step 4: Simplify right side
    37.70x = 1,804.26
  5. Step 5: Solve for x
    x = 1,804.26/37.70
  6. Step 6: Final answer
    x = 47.86

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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.