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Finding the Fourth Proportional to 6.69, 10.07 and 5.75

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Solution

The fourth proportional to 6.69, 10.07 and 5.75 is: 8.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.69 : 10.07 = 5.75 : x
  2. Step 2: Convert to fraction form
    6.69/10.07 = 5.75/x
  3. Step 3: Cross multiply
    6.69x = 10.07 × 5.75
  4. Step 4: Simplify right side
    6.69x = 57.90
  5. Step 5: Solve for x
    x = 57.90/6.69
  6. Step 6: Final answer
    x = 8.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.