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Finding the Fourth Proportional to 4.91, 6.77 and 4.22

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Solution

The fourth proportional to 4.91, 6.77 and 4.22 is: 5.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.91 : 6.77 = 4.22 : x
  2. Step 2: Convert to fraction form
    4.91/6.77 = 4.22/x
  3. Step 3: Cross multiply
    4.91x = 6.77 × 4.22
  4. Step 4: Simplify right side
    4.91x = 28.57
  5. Step 5: Solve for x
    x = 28.57/4.91
  6. Step 6: Final answer
    x = 5.82

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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.