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Finding the Fourth Proportional to 14.72, 22.09 and 5.71

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Solution

The fourth proportional to 14.72, 22.09 and 5.71 is: 8.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.72 : 22.09 = 5.71 : x
  2. Step 2: Convert to fraction form
    14.72/22.09 = 5.71/x
  3. Step 3: Cross multiply
    14.72x = 22.09 × 5.71
  4. Step 4: Simplify right side
    14.72x = 126.02
  5. Step 5: Solve for x
    x = 126.02/14.72
  6. Step 6: Final answer
    x = 8.56

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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.