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Finding the Fourth Proportional to 38.19, 52.37 and 36.96

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Solution

The fourth proportional to 38.19, 52.37 and 36.96 is: 50.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.19 : 52.37 = 36.96 : x
  2. Step 2: Convert to fraction form
    38.19/52.37 = 36.96/x
  3. Step 3: Cross multiply
    38.19x = 52.37 × 36.96
  4. Step 4: Simplify right side
    38.19x = 1,935.41
  5. Step 5: Solve for x
    x = 1,935.41/38.19
  6. Step 6: Final answer
    x = 50.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.