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Finding the Fourth Proportional to 10.23, 14.09 and 9.83

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Solution

The fourth proportional to 10.23, 14.09 and 9.83 is: 13.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.23 : 14.09 = 9.83 : x
  2. Step 2: Convert to fraction form
    10.23/14.09 = 9.83/x
  3. Step 3: Cross multiply
    10.23x = 14.09 × 9.83
  4. Step 4: Simplify right side
    10.23x = 138.47
  5. Step 5: Solve for x
    x = 138.47/10.23
  6. Step 6: Final answer
    x = 13.54

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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.