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Finding the Fourth Proportional to 16.49, 24.75 and 9.74

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Solution

The fourth proportional to 16.49, 24.75 and 9.74 is: 14.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.49 : 24.75 = 9.74 : x
  2. Step 2: Convert to fraction form
    16.49/24.75 = 9.74/x
  3. Step 3: Cross multiply
    16.49x = 24.75 × 9.74
  4. Step 4: Simplify right side
    16.49x = 241.13
  5. Step 5: Solve for x
    x = 241.13/16.49
  6. Step 6: Final answer
    x = 14.62

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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.