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Finding the Fourth Proportional to 8.45, 12.71 and 3.95

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Solution

The fourth proportional to 8.45, 12.71 and 3.95 is: 5.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.45 : 12.71 = 3.95 : x
  2. Step 2: Convert to fraction form
    8.45/12.71 = 3.95/x
  3. Step 3: Cross multiply
    8.45x = 12.71 × 3.95
  4. Step 4: Simplify right side
    8.45x = 50.18
  5. Step 5: Solve for x
    x = 50.18/8.45
  6. Step 6: Final answer
    x = 5.93

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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.