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Finding the Fourth Proportional to 8.06, 12.10 and 6.46

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Solution

The fourth proportional to 8.06, 12.10 and 6.46 is: 9.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 12.10 = 6.46 : x
  2. Step 2: Convert to fraction form
    8.06/12.10 = 6.46/x
  3. Step 3: Cross multiply
    8.06x = 12.10 × 6.46
  4. Step 4: Simplify right side
    8.06x = 78.17
  5. Step 5: Solve for x
    x = 78.17/8.06
  6. Step 6: Final answer
    x = 9.70

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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.