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Finding the Fourth Proportional to 37.31, 55.91 and 33.43

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Solution

The fourth proportional to 37.31, 55.91 and 33.43 is: 50.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.31 : 55.91 = 33.43 : x
  2. Step 2: Convert to fraction form
    37.31/55.91 = 33.43/x
  3. Step 3: Cross multiply
    37.31x = 55.91 × 33.43
  4. Step 4: Simplify right side
    37.31x = 1,868.93
  5. Step 5: Solve for x
    x = 1,868.93/37.31
  6. Step 6: Final answer
    x = 50.10

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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.