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Finding the Fourth Proportional to 11.70, 16.12 and 10.23

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Solution

The fourth proportional to 11.70, 16.12 and 10.23 is: 14.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.70 : 16.12 = 10.23 : x
  2. Step 2: Convert to fraction form
    11.70/16.12 = 10.23/x
  3. Step 3: Cross multiply
    11.70x = 16.12 × 10.23
  4. Step 4: Simplify right side
    11.70x = 164.91
  5. Step 5: Solve for x
    x = 164.91/11.70
  6. Step 6: Final answer
    x = 14.09

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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.