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Finding the Fourth Proportional to 37.50, 56.34 and 31.56

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Solution

The fourth proportional to 37.50, 56.34 and 31.56 is: 47.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.50 : 56.34 = 31.56 : x
  2. Step 2: Convert to fraction form
    37.50/56.34 = 31.56/x
  3. Step 3: Cross multiply
    37.50x = 56.34 × 31.56
  4. Step 4: Simplify right side
    37.50x = 1,778.09
  5. Step 5: Solve for x
    x = 1,778.09/37.50
  6. Step 6: Final answer
    x = 47.42

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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.