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Finding the Fourth Proportional to 38.72, 53.48 and 37.28

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Solution

The fourth proportional to 38.72, 53.48 and 37.28 is: 51.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.72 : 53.48 = 37.28 : x
  2. Step 2: Convert to fraction form
    38.72/53.48 = 37.28/x
  3. Step 3: Cross multiply
    38.72x = 53.48 × 37.28
  4. Step 4: Simplify right side
    38.72x = 1,993.73
  5. Step 5: Solve for x
    x = 1,993.73/38.72
  6. Step 6: Final answer
    x = 51.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.