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Finding the Fourth Proportional to 38.43, 57.57 and 31.05

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Solution

The fourth proportional to 38.43, 57.57 and 31.05 is: 46.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.43 : 57.57 = 31.05 : x
  2. Step 2: Convert to fraction form
    38.43/57.57 = 31.05/x
  3. Step 3: Cross multiply
    38.43x = 57.57 × 31.05
  4. Step 4: Simplify right side
    38.43x = 1,787.55
  5. Step 5: Solve for x
    x = 1,787.55/38.43
  6. Step 6: Final answer
    x = 46.51

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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.