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Finding the Fourth Proportional to 25.29, 37.92 and 9.25

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Solution

The fourth proportional to 25.29, 37.92 and 9.25 is: 13.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.29 : 37.92 = 9.25 : x
  2. Step 2: Convert to fraction form
    25.29/37.92 = 9.25/x
  3. Step 3: Cross multiply
    25.29x = 37.92 × 9.25
  4. Step 4: Simplify right side
    25.29x = 350.76
  5. Step 5: Solve for x
    x = 350.76/25.29
  6. Step 6: Final answer
    x = 13.87

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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.