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Finding the Fourth Proportional to 24.13, 36.26 and 16.16

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Solution

The fourth proportional to 24.13, 36.26 and 16.16 is: 24.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 36.26 = 16.16 : x
  2. Step 2: Convert to fraction form
    24.13/36.26 = 16.16/x
  3. Step 3: Cross multiply
    24.13x = 36.26 × 16.16
  4. Step 4: Simplify right side
    24.13x = 586.09
  5. Step 5: Solve for x
    x = 586.09/24.13
  6. Step 6: Final answer
    x = 24.29

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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.