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Finding the Fourth Proportional to 2.05, 3.07 and 1.16

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Solution

The fourth proportional to 2.05, 3.07 and 1.16 is: 1.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.05 : 3.07 = 1.16 : x
  2. Step 2: Convert to fraction form
    2.05/3.07 = 1.16/x
  3. Step 3: Cross multiply
    2.05x = 3.07 × 1.16
  4. Step 4: Simplify right side
    2.05x = 3.55
  5. Step 5: Solve for x
    x = 3.55/2.05
  6. Step 6: Final answer
    x = 1.73

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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.