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Finding the Fourth Proportional to 29.69, 44.49 and 16.16

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Solution

The fourth proportional to 29.69, 44.49 and 16.16 is: 24.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.69 : 44.49 = 16.16 : x
  2. Step 2: Convert to fraction form
    29.69/44.49 = 16.16/x
  3. Step 3: Cross multiply
    29.69x = 44.49 × 16.16
  4. Step 4: Simplify right side
    29.69x = 718.96
  5. Step 5: Solve for x
    x = 718.96/29.69
  6. Step 6: Final answer
    x = 24.22

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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.