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Finding the Fourth Proportional to 16.26, 24.33 and 9.46

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Solution

The fourth proportional to 16.26, 24.33 and 9.46 is: 14.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.26 : 24.33 = 9.46 : x
  2. Step 2: Convert to fraction form
    16.26/24.33 = 9.46/x
  3. Step 3: Cross multiply
    16.26x = 24.33 × 9.46
  4. Step 4: Simplify right side
    16.26x = 230.16
  5. Step 5: Solve for x
    x = 230.16/16.26
  6. Step 6: Final answer
    x = 14.16

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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.