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Finding the Fourth Proportional to 6.80, 10.16 and 6.32

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Solution

The fourth proportional to 6.80, 10.16 and 6.32 is: 9.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.80 : 10.16 = 6.32 : x
  2. Step 2: Convert to fraction form
    6.80/10.16 = 6.32/x
  3. Step 3: Cross multiply
    6.80x = 10.16 × 6.32
  4. Step 4: Simplify right side
    6.80x = 64.21
  5. Step 5: Solve for x
    x = 64.21/6.80
  6. Step 6: Final answer
    x = 9.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.