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Finding the Fourth Proportional to 10.30, 14.22 and 9.62

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Solution

The fourth proportional to 10.30, 14.22 and 9.62 is: 13.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.30 : 14.22 = 9.62 : x
  2. Step 2: Convert to fraction form
    10.30/14.22 = 9.62/x
  3. Step 3: Cross multiply
    10.30x = 14.22 × 9.62
  4. Step 4: Simplify right side
    10.30x = 136.80
  5. Step 5: Solve for x
    x = 136.80/10.30
  6. Step 6: Final answer
    x = 13.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.