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Finding the Fourth Proportional to 13.93, 19.22 and 9.32

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Solution

The fourth proportional to 13.93, 19.22 and 9.32 is: 12.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.93 : 19.22 = 9.32 : x
  2. Step 2: Convert to fraction form
    13.93/19.22 = 9.32/x
  3. Step 3: Cross multiply
    13.93x = 19.22 × 9.32
  4. Step 4: Simplify right side
    13.93x = 179.13
  5. Step 5: Solve for x
    x = 179.13/13.93
  6. Step 6: Final answer
    x = 12.86

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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.