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Finding the Fourth Proportional to 37.68, 56.63 and 33.13

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Solution

The fourth proportional to 37.68, 56.63 and 33.13 is: 49.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.68 : 56.63 = 33.13 : x
  2. Step 2: Convert to fraction form
    37.68/56.63 = 33.13/x
  3. Step 3: Cross multiply
    37.68x = 56.63 × 33.13
  4. Step 4: Simplify right side
    37.68x = 1,876.15
  5. Step 5: Solve for x
    x = 1,876.15/37.68
  6. Step 6: Final answer
    x = 49.79

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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.