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Finding the Fourth Proportional to 8.66, 12.99 and 4.14

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Solution

The fourth proportional to 8.66, 12.99 and 4.14 is: 6.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.66 : 12.99 = 4.14 : x
  2. Step 2: Convert to fraction form
    8.66/12.99 = 4.14/x
  3. Step 3: Cross multiply
    8.66x = 12.99 × 4.14
  4. Step 4: Simplify right side
    8.66x = 53.78
  5. Step 5: Solve for x
    x = 53.78/8.66
  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.