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Finding the Fourth Proportional to 37.17, 55.84 and 31.48

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Solution

The fourth proportional to 37.17, 55.84 and 31.48 is: 47.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.17 : 55.84 = 31.48 : x
  2. Step 2: Convert to fraction form
    37.17/55.84 = 31.48/x
  3. Step 3: Cross multiply
    37.17x = 55.84 × 31.48
  4. Step 4: Simplify right side
    37.17x = 1,757.41
  5. Step 5: Solve for x
    x = 1,757.41/37.17
  6. Step 6: Final answer
    x = 47.28

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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.