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Finding the Fourth Proportional to 16.74, 25.12 and 7.74

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Solution

The fourth proportional to 16.74, 25.12 and 7.74 is: 11.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.74 : 25.12 = 7.74 : x
  2. Step 2: Convert to fraction form
    16.74/25.12 = 7.74/x
  3. Step 3: Cross multiply
    16.74x = 25.12 × 7.74
  4. Step 4: Simplify right side
    16.74x = 194.43
  5. Step 5: Solve for x
    x = 194.43/16.74
  6. Step 6: Final answer
    x = 11.61

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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.