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Finding the Fourth Proportional to 6.77, 10.16 and 6.44

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Solution

The fourth proportional to 6.77, 10.16 and 6.44 is: 9.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.77 : 10.16 = 6.44 : x
  2. Step 2: Convert to fraction form
    6.77/10.16 = 6.44/x
  3. Step 3: Cross multiply
    6.77x = 10.16 × 6.44
  4. Step 4: Simplify right side
    6.77x = 65.37
  5. Step 5: Solve for x
    x = 65.37/6.77
  6. Step 6: Final answer
    x = 9.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.