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Finding the Fourth Proportional to 6.78, 10.05 and 6.75

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Solution

The fourth proportional to 6.78, 10.05 and 6.75 is: 10.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.78 : 10.05 = 6.75 : x
  2. Step 2: Convert to fraction form
    6.78/10.05 = 6.75/x
  3. Step 3: Cross multiply
    6.78x = 10.05 × 6.75
  4. Step 4: Simplify right side
    6.78x = 67.84
  5. Step 5: Solve for x
    x = 67.84/6.78
  6. Step 6: Final answer
    x = 10.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.