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Finding the Fourth Proportional to 3.34, 5.01 and 2.07

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Solution

The fourth proportional to 3.34, 5.01 and 2.07 is: 3.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.34 : 5.01 = 2.07 : x
  2. Step 2: Convert to fraction form
    3.34/5.01 = 2.07/x
  3. Step 3: Cross multiply
    3.34x = 5.01 × 2.07
  4. Step 4: Simplify right side
    3.34x = 10.40
  5. Step 5: Solve for x
    x = 10.40/3.34
  6. Step 6: Final answer
    x = 3.11

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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.