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Finding the Fourth Proportional to 4.13, 5.66 and 4.09

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Solution

The fourth proportional to 4.13, 5.66 and 4.09 is: 5.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.13 : 5.66 = 4.09 : x
  2. Step 2: Convert to fraction form
    4.13/5.66 = 4.09/x
  3. Step 3: Cross multiply
    4.13x = 5.66 × 4.09
  4. Step 4: Simplify right side
    4.13x = 23.15
  5. Step 5: Solve for x
    x = 23.15/4.13
  6. Step 6: Final answer
    x = 5.61

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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.