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Finding the Fourth Proportional to 38.92, 58.46 and 37.30

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Solution

The fourth proportional to 38.92, 58.46 and 37.30 is: 56.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.92 : 58.46 = 37.30 : x
  2. Step 2: Convert to fraction form
    38.92/58.46 = 37.30/x
  3. Step 3: Cross multiply
    38.92x = 58.46 × 37.30
  4. Step 4: Simplify right side
    38.92x = 2,180.56
  5. Step 5: Solve for x
    x = 2,180.56/38.92
  6. Step 6: Final answer
    x = 56.03

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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.