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Finding the Fourth Proportional to 13.70, 20.65 and 12.80

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Solution

The fourth proportional to 13.70, 20.65 and 12.80 is: 19.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.70 : 20.65 = 12.80 : x
  2. Step 2: Convert to fraction form
    13.70/20.65 = 12.80/x
  3. Step 3: Cross multiply
    13.70x = 20.65 × 12.80
  4. Step 4: Simplify right side
    13.70x = 264.26
  5. Step 5: Solve for x
    x = 264.26/13.70
  6. Step 6: Final answer
    x = 19.29

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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.