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Finding the Fourth Proportional to 37.24, 55.97 and 25.30

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Solution

The fourth proportional to 37.24, 55.97 and 25.30 is: 38.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.24 : 55.97 = 25.30 : x
  2. Step 2: Convert to fraction form
    37.24/55.97 = 25.30/x
  3. Step 3: Cross multiply
    37.24x = 55.97 × 25.30
  4. Step 4: Simplify right side
    37.24x = 1,416.04
  5. Step 5: Solve for x
    x = 1,416.04/37.24
  6. Step 6: Final answer
    x = 38.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.