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Finding the Fourth Proportional to 10.20, 14.05 and 9.22

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Solution

The fourth proportional to 10.20, 14.05 and 9.22 is: 12.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.20 : 14.05 = 9.22 : x
  2. Step 2: Convert to fraction form
    10.20/14.05 = 9.22/x
  3. Step 3: Cross multiply
    10.20x = 14.05 × 9.22
  4. Step 4: Simplify right side
    10.20x = 129.54
  5. Step 5: Solve for x
    x = 129.54/10.20
  6. Step 6: Final answer
    x = 12.70

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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.