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Finding the Fourth Proportional to 19.72, 29.57 and 7.69

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Solution

The fourth proportional to 19.72, 29.57 and 7.69 is: 11.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.72 : 29.57 = 7.69 : x
  2. Step 2: Convert to fraction form
    19.72/29.57 = 7.69/x
  3. Step 3: Cross multiply
    19.72x = 29.57 × 7.69
  4. Step 4: Simplify right side
    19.72x = 227.28
  5. Step 5: Solve for x
    x = 227.28/19.72
  6. Step 6: Final answer
    x = 11.53

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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.