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Finding the Fourth Proportional to 37.98, 52.40 and 23.22

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Solution

The fourth proportional to 37.98, 52.40 and 23.22 is: 32.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.98 : 52.40 = 23.22 : x
  2. Step 2: Convert to fraction form
    37.98/52.40 = 23.22/x
  3. Step 3: Cross multiply
    37.98x = 52.40 × 23.22
  4. Step 4: Simplify right side
    37.98x = 1,216.73
  5. Step 5: Solve for x
    x = 1,216.73/37.98
  6. Step 6: Final answer
    x = 32.04

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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.