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Finding the Fourth Proportional to 16.50, 24.74 and 7.48

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Solution

The fourth proportional to 16.50, 24.74 and 7.48 is: 11.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 24.74 = 7.48 : x
  2. Step 2: Convert to fraction form
    16.50/24.74 = 7.48/x
  3. Step 3: Cross multiply
    16.50x = 24.74 × 7.48
  4. Step 4: Simplify right side
    16.50x = 184.97
  5. Step 5: Solve for x
    x = 184.97/16.50
  6. Step 6: Final answer
    x = 11.21

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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.