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Finding the Fourth Proportional to 25.92, 38.75 and 25.25

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Solution

The fourth proportional to 25.92, 38.75 and 25.25 is: 37.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.92 : 38.75 = 25.25 : x
  2. Step 2: Convert to fraction form
    25.92/38.75 = 25.25/x
  3. Step 3: Cross multiply
    25.92x = 38.75 × 25.25
  4. Step 4: Simplify right side
    25.92x = 978.12
  5. Step 5: Solve for x
    x = 978.12/25.92
  6. Step 6: Final answer
    x = 37.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.