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Finding the Fourth Proportional to 13, 17.94 and 9.13

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Solution

The fourth proportional to 13, 17.94 and 9.13 is: 12.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 17.94 = 9.13 : x
  2. Step 2: Convert to fraction form
    13/17.94 = 9.13/x
  3. Step 3: Cross multiply
    13x = 17.94 × 9.13
  4. Step 4: Simplify right side
    13x = 163.70
  5. Step 5: Solve for x
    x = 163.70/13
  6. Step 6: Final answer
    x = 12.59

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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.