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Finding the Fourth Proportional to 7.68, 11.52 and 4.14

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Solution

The fourth proportional to 7.68, 11.52 and 4.14 is: 6.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.68 : 11.52 = 4.14 : x
  2. Step 2: Convert to fraction form
    7.68/11.52 = 4.14/x
  3. Step 3: Cross multiply
    7.68x = 11.52 × 4.14
  4. Step 4: Simplify right side
    7.68x = 47.69
  5. Step 5: Solve for x
    x = 47.69/7.68
  6. Step 6: Final answer
    x = 6.21

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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.