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Finding the Fourth Proportional to 14.57, 21.84 and 7.71

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Solution

The fourth proportional to 14.57, 21.84 and 7.71 is: 11.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.57 : 21.84 = 7.71 : x
  2. Step 2: Convert to fraction form
    14.57/21.84 = 7.71/x
  3. Step 3: Cross multiply
    14.57x = 21.84 × 7.71
  4. Step 4: Simplify right side
    14.57x = 168.44
  5. Step 5: Solve for x
    x = 168.44/14.57
  6. Step 6: Final answer
    x = 11.56

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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.