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Finding the Fourth Proportional to 12.94, 19.49 and 9.59

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Solution

The fourth proportional to 12.94, 19.49 and 9.59 is: 14.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.94 : 19.49 = 9.59 : x
  2. Step 2: Convert to fraction form
    12.94/19.49 = 9.59/x
  3. Step 3: Cross multiply
    12.94x = 19.49 × 9.59
  4. Step 4: Simplify right side
    12.94x = 186.76
  5. Step 5: Solve for x
    x = 186.76/12.94
  6. Step 6: Final answer
    x = 14.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.