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Finding the Fourth Proportional to 6.02, 8.28 and 5.66

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Solution

The fourth proportional to 6.02, 8.28 and 5.66 is: 7.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.02 : 8.28 = 5.66 : x
  2. Step 2: Convert to fraction form
    6.02/8.28 = 5.66/x
  3. Step 3: Cross multiply
    6.02x = 8.28 × 5.66
  4. Step 4: Simplify right side
    6.02x = 46.85
  5. Step 5: Solve for x
    x = 46.85/6.02
  6. Step 6: Final answer
    x = 7.78

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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.