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Finding the Fourth Proportional to 38.07, 56.86 and 32.97

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Solution

The fourth proportional to 38.07, 56.86 and 32.97 is: 49.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.07 : 56.86 = 32.97 : x
  2. Step 2: Convert to fraction form
    38.07/56.86 = 32.97/x
  3. Step 3: Cross multiply
    38.07x = 56.86 × 32.97
  4. Step 4: Simplify right side
    38.07x = 1,874.59
  5. Step 5: Solve for x
    x = 1,874.59/38.07
  6. Step 6: Final answer
    x = 49.24

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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.