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Finding the Fourth Proportional to 12.83, 19.17 and 10.13

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Solution

The fourth proportional to 12.83, 19.17 and 10.13 is: 15.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.83 : 19.17 = 10.13 : x
  2. Step 2: Convert to fraction form
    12.83/19.17 = 10.13/x
  3. Step 3: Cross multiply
    12.83x = 19.17 × 10.13
  4. Step 4: Simplify right side
    12.83x = 194.10
  5. Step 5: Solve for x
    x = 194.10/12.83
  6. Step 6: Final answer
    x = 15.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.