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Finding the Fourth Proportional to 11.62, 16.07 and 10.26

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Solution

The fourth proportional to 11.62, 16.07 and 10.26 is: 14.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.62 : 16.07 = 10.26 : x
  2. Step 2: Convert to fraction form
    11.62/16.07 = 10.26/x
  3. Step 3: Cross multiply
    11.62x = 16.07 × 10.26
  4. Step 4: Simplify right side
    11.62x = 164.82
  5. Step 5: Solve for x
    x = 164.82/11.62
  6. Step 6: Final answer
    x = 14.18

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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.