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Finding the Fourth Proportional to 39.72, 54.82 and 23.37

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Solution

The fourth proportional to 39.72, 54.82 and 23.37 is: 32.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.72 : 54.82 = 23.37 : x
  2. Step 2: Convert to fraction form
    39.72/54.82 = 23.37/x
  3. Step 3: Cross multiply
    39.72x = 54.82 × 23.37
  4. Step 4: Simplify right side
    39.72x = 1,280.97
  5. Step 5: Solve for x
    x = 1,280.97/39.72
  6. Step 6: Final answer
    x = 32.25

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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.