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Finding the Fourth Proportional to 10.09, 15.20 and 9.38

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Solution

The fourth proportional to 10.09, 15.20 and 9.38 is: 14.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.09 : 15.20 = 9.38 : x
  2. Step 2: Convert to fraction form
    10.09/15.20 = 9.38/x
  3. Step 3: Cross multiply
    10.09x = 15.20 × 9.38
  4. Step 4: Simplify right side
    10.09x = 142.58
  5. Step 5: Solve for x
    x = 142.58/10.09
  6. Step 6: Final answer
    x = 14.13

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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.