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Finding the Fourth Proportional to 12.96, 19.41 and 9.57

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Solution

The fourth proportional to 12.96, 19.41 and 9.57 is: 14.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.96 : 19.41 = 9.57 : x
  2. Step 2: Convert to fraction form
    12.96/19.41 = 9.57/x
  3. Step 3: Cross multiply
    12.96x = 19.41 × 9.57
  4. Step 4: Simplify right side
    12.96x = 185.75
  5. Step 5: Solve for x
    x = 185.75/12.96
  6. Step 6: Final answer
    x = 14.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.