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Finding the Fourth Proportional to 3.69, 5.09 and 2.25

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Solution

The fourth proportional to 3.69, 5.09 and 2.25 is: 3.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.69 : 5.09 = 2.25 : x
  2. Step 2: Convert to fraction form
    3.69/5.09 = 2.25/x
  3. Step 3: Cross multiply
    3.69x = 5.09 × 2.25
  4. Step 4: Simplify right side
    3.69x = 11.45
  5. Step 5: Solve for x
    x = 11.45/3.69
  6. Step 6: Final answer
    x = 3.10

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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.