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Finding the Fourth Proportional to 38.70, 52.97 and 38.30

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Solution

The fourth proportional to 38.70, 52.97 and 38.30 is: 52.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.70 : 52.97 = 38.30 : x
  2. Step 2: Convert to fraction form
    38.70/52.97 = 38.30/x
  3. Step 3: Cross multiply
    38.70x = 52.97 × 38.30
  4. Step 4: Simplify right side
    38.70x = 2,028.29
  5. Step 5: Solve for x
    x = 2,028.29/38.70
  6. Step 6: Final answer
    x = 52.41

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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.