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Finding the Fourth Proportional to 14.80, 22.11 and 9.69

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Solution

The fourth proportional to 14.80, 22.11 and 9.69 is: 14.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.80 : 22.11 = 9.69 : x
  2. Step 2: Convert to fraction form
    14.80/22.11 = 9.69/x
  3. Step 3: Cross multiply
    14.80x = 22.11 × 9.69
  4. Step 4: Simplify right side
    14.80x = 214.13
  5. Step 5: Solve for x
    x = 214.13/14.80
  6. Step 6: Final answer
    x = 14.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.