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Finding the Fourth Proportional to 10.09, 13.84 and 9.07

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Solution

The fourth proportional to 10.09, 13.84 and 9.07 is: 12.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.09 : 13.84 = 9.07 : x
  2. Step 2: Convert to fraction form
    10.09/13.84 = 9.07/x
  3. Step 3: Cross multiply
    10.09x = 13.84 × 9.07
  4. Step 4: Simplify right side
    10.09x = 125.46
  5. Step 5: Solve for x
    x = 125.46/10.09
  6. Step 6: Final answer
    x = 12.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.