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Finding the Fourth Proportional to 3.40, 5.10 and 2.06

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Solution

The fourth proportional to 3.40, 5.10 and 2.06 is: 3.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.40 : 5.10 = 2.06 : x
  2. Step 2: Convert to fraction form
    3.40/5.10 = 2.06/x
  3. Step 3: Cross multiply
    3.40x = 5.10 × 2.06
  4. Step 4: Simplify right side
    3.40x = 10.53
  5. Step 5: Solve for x
    x = 10.53/3.40
  6. Step 6: Final answer
    x = 3.09

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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.