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Finding the Fourth Proportional to 25.26, 37.88 and 8.14

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Solution

The fourth proportional to 25.26, 37.88 and 8.14 is: 12.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.26 : 37.88 = 8.14 : x
  2. Step 2: Convert to fraction form
    25.26/37.88 = 8.14/x
  3. Step 3: Cross multiply
    25.26x = 37.88 × 8.14
  4. Step 4: Simplify right side
    25.26x = 308.15
  5. Step 5: Solve for x
    x = 308.15/25.26
  6. Step 6: Final answer
    x = 12.20

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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.