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Finding the Fourth Proportional to 37.72, 52.04 and 24.80

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Solution

The fourth proportional to 37.72, 52.04 and 24.80 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.72 : 52.04 = 24.80 : x
  2. Step 2: Convert to fraction form
    37.72/52.04 = 24.80/x
  3. Step 3: Cross multiply
    37.72x = 52.04 × 24.80
  4. Step 4: Simplify right side
    37.72x = 1,290.59
  5. Step 5: Solve for x
    x = 1,290.59/37.72
  6. Step 6: Final answer
    x = 34.22

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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.