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Finding the Fourth Proportional to 6.22, 8.53 and 6.05

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Solution

The fourth proportional to 6.22, 8.53 and 6.05 is: 8.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.22 : 8.53 = 6.05 : x
  2. Step 2: Convert to fraction form
    6.22/8.53 = 6.05/x
  3. Step 3: Cross multiply
    6.22x = 8.53 × 6.05
  4. Step 4: Simplify right side
    6.22x = 51.61
  5. Step 5: Solve for x
    x = 51.61/6.22
  6. Step 6: Final answer
    x = 8.30

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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.