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Finding the Fourth Proportional to 4.22, 5.81 and 4.07

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Solution

The fourth proportional to 4.22, 5.81 and 4.07 is: 5.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.22 : 5.81 = 4.07 : x
  2. Step 2: Convert to fraction form
    4.22/5.81 = 4.07/x
  3. Step 3: Cross multiply
    4.22x = 5.81 × 4.07
  4. Step 4: Simplify right side
    4.22x = 23.64
  5. Step 5: Solve for x
    x = 23.64/4.22
  6. Step 6: Final answer
    x = 5.61

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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.