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Finding the Fourth Proportional to 8.25, 12.35 and 5.71

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Solution

The fourth proportional to 8.25, 12.35 and 5.71 is: 8.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.25 : 12.35 = 5.71 : x
  2. Step 2: Convert to fraction form
    8.25/12.35 = 5.71/x
  3. Step 3: Cross multiply
    8.25x = 12.35 × 5.71
  4. Step 4: Simplify right side
    8.25x = 70.46
  5. Step 5: Solve for x
    x = 70.46/8.25
  6. Step 6: Final answer
    x = 8.54

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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.