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Finding the Fourth Proportional to 12.83, 17.69 and 9.14

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Solution

The fourth proportional to 12.83, 17.69 and 9.14 is: 12.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.83 : 17.69 = 9.14 : x
  2. Step 2: Convert to fraction form
    12.83/17.69 = 9.14/x
  3. Step 3: Cross multiply
    12.83x = 17.69 × 9.14
  4. Step 4: Simplify right side
    12.83x = 161.55
  5. Step 5: Solve for x
    x = 161.55/12.83
  6. Step 6: Final answer
    x = 12.60

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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.