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Finding the Fourth Proportional to 37.74, 52.02 and 31.56

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Solution

The fourth proportional to 37.74, 52.02 and 31.56 is: 43.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.74 : 52.02 = 31.56 : x
  2. Step 2: Convert to fraction form
    37.74/52.02 = 31.56/x
  3. Step 3: Cross multiply
    37.74x = 52.02 × 31.56
  4. Step 4: Simplify right side
    37.74x = 1,641.75
  5. Step 5: Solve for x
    x = 1,641.75/37.74
  6. Step 6: Final answer
    x = 43.50

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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.