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Finding the Fourth Proportional to 12.96, 19.46 and 7.64

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Solution

The fourth proportional to 12.96, 19.46 and 7.64 is: 11.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.96 : 19.46 = 7.64 : x
  2. Step 2: Convert to fraction form
    12.96/19.46 = 7.64/x
  3. Step 3: Cross multiply
    12.96x = 19.46 × 7.64
  4. Step 4: Simplify right side
    12.96x = 148.67
  5. Step 5: Solve for x
    x = 148.67/12.96
  6. Step 6: Final answer
    x = 11.47

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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.