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Finding the Fourth Proportional to 25.28, 37.92 and 7.24

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Solution

The fourth proportional to 25.28, 37.92 and 7.24 is: 10.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.28 : 37.92 = 7.24 : x
  2. Step 2: Convert to fraction form
    25.28/37.92 = 7.24/x
  3. Step 3: Cross multiply
    25.28x = 37.92 × 7.24
  4. Step 4: Simplify right side
    25.28x = 274.54
  5. Step 5: Solve for x
    x = 274.54/25.28
  6. Step 6: Final answer
    x = 10.86

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