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Finding the Fourth Proportional to 16.40, 22.62 and 10.94

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Solution

The fourth proportional to 16.40, 22.62 and 10.94 is: 15.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.40 : 22.62 = 10.94 : x
  2. Step 2: Convert to fraction form
    16.40/22.62 = 10.94/x
  3. Step 3: Cross multiply
    16.40x = 22.62 × 10.94
  4. Step 4: Simplify right side
    16.40x = 247.35
  5. Step 5: Solve for x
    x = 247.35/16.40
  6. Step 6: Final answer
    x = 15.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.