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Finding the Fourth Proportional to 13.23, 19.70 and 12.64

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Solution

The fourth proportional to 13.23, 19.70 and 12.64 is: 18.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.23 : 19.70 = 12.64 : x
  2. Step 2: Convert to fraction form
    13.23/19.70 = 12.64/x
  3. Step 3: Cross multiply
    13.23x = 19.70 × 12.64
  4. Step 4: Simplify right side
    13.23x = 249.02
  5. Step 5: Solve for x
    x = 249.02/13.23
  6. Step 6: Final answer
    x = 18.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.