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Finding the Fourth Proportional to 10.05, 13.82 and 8.52

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Solution

The fourth proportional to 10.05, 13.82 and 8.52 is: 11.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.05 : 13.82 = 8.52 : x
  2. Step 2: Convert to fraction form
    10.05/13.82 = 8.52/x
  3. Step 3: Cross multiply
    10.05x = 13.82 × 8.52
  4. Step 4: Simplify right side
    10.05x = 117.65
  5. Step 5: Solve for x
    x = 117.65/10.05
  6. Step 6: Final answer
    x = 11.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.