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Finding the Fourth Proportional to 38.73, 53.33 and 37.71

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Solution

The fourth proportional to 38.73, 53.33 and 37.71 is: 51.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.73 : 53.33 = 37.71 : x
  2. Step 2: Convert to fraction form
    38.73/53.33 = 37.71/x
  3. Step 3: Cross multiply
    38.73x = 53.33 × 37.71
  4. Step 4: Simplify right side
    38.73x = 2,010.89
  5. Step 5: Solve for x
    x = 2,010.89/38.73
  6. Step 6: Final answer
    x = 51.92

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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.