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Finding the Fourth Proportional to 10.09, 15.14 and 6.08

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Solution

The fourth proportional to 10.09, 15.14 and 6.08 is: 9.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.09 : 15.14 = 6.08 : x
  2. Step 2: Convert to fraction form
    10.09/15.14 = 6.08/x
  3. Step 3: Cross multiply
    10.09x = 15.14 × 6.08
  4. Step 4: Simplify right side
    10.09x = 92.05
  5. Step 5: Solve for x
    x = 92.05/10.09
  6. Step 6: Final answer
    x = 9.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.