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Finding the Fourth Proportional to 16.40, 24.56 and 9.26

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Solution

The fourth proportional to 16.40, 24.56 and 9.26 is: 13.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.40 : 24.56 = 9.26 : x
  2. Step 2: Convert to fraction form
    16.40/24.56 = 9.26/x
  3. Step 3: Cross multiply
    16.40x = 24.56 × 9.26
  4. Step 4: Simplify right side
    16.40x = 227.43
  5. Step 5: Solve for x
    x = 227.43/16.40
  6. Step 6: Final answer
    x = 13.87

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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.