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Finding the Fourth Proportional to 10.22, 14.09 and 9.06

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Solution

The fourth proportional to 10.22, 14.09 and 9.06 is: 12.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 14.09 = 9.06 : x
  2. Step 2: Convert to fraction form
    10.22/14.09 = 9.06/x
  3. Step 3: Cross multiply
    10.22x = 14.09 × 9.06
  4. Step 4: Simplify right side
    10.22x = 127.56
  5. Step 5: Solve for x
    x = 127.56/10.22
  6. Step 6: Final answer
    x = 12.49

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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.