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Finding the Fourth Proportional to 12.93, 17.80 and 9.69

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Solution

The fourth proportional to 12.93, 17.80 and 9.69 is: 13.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.93 : 17.80 = 9.69 : x
  2. Step 2: Convert to fraction form
    12.93/17.80 = 9.69/x
  3. Step 3: Cross multiply
    12.93x = 17.80 × 9.69
  4. Step 4: Simplify right side
    12.93x = 172.48
  5. Step 5: Solve for x
    x = 172.48/12.93
  6. Step 6: Final answer
    x = 13.34

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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.