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Finding the Fourth Proportional to 25.69, 38.22 and 25.50

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Solution

The fourth proportional to 25.69, 38.22 and 25.50 is: 37.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.69 : 38.22 = 25.50 : x
  2. Step 2: Convert to fraction form
    25.69/38.22 = 25.50/x
  3. Step 3: Cross multiply
    25.69x = 38.22 × 25.50
  4. Step 4: Simplify right side
    25.69x = 974.61
  5. Step 5: Solve for x
    x = 974.61/25.69
  6. Step 6: Final answer
    x = 37.94

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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.