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Finding the Fourth Proportional to 38.09, 56.92 and 33.86

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Solution

The fourth proportional to 38.09, 56.92 and 33.86 is: 50.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.09 : 56.92 = 33.86 : x
  2. Step 2: Convert to fraction form
    38.09/56.92 = 33.86/x
  3. Step 3: Cross multiply
    38.09x = 56.92 × 33.86
  4. Step 4: Simplify right side
    38.09x = 1,927.31
  5. Step 5: Solve for x
    x = 1,927.31/38.09
  6. Step 6: Final answer
    x = 50.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.