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Finding the Fourth Proportional to 9.69, 14.60 and 8.20

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Solution

The fourth proportional to 9.69, 14.60 and 8.20 is: 12.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.69 : 14.60 = 8.20 : x
  2. Step 2: Convert to fraction form
    9.69/14.60 = 8.20/x
  3. Step 3: Cross multiply
    9.69x = 14.60 × 8.20
  4. Step 4: Simplify right side
    9.69x = 119.72
  5. Step 5: Solve for x
    x = 119.72/9.69
  6. Step 6: Final answer
    x = 12.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.