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Finding the Fourth Proportional to 3.42, 4.72 and 2.05

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Solution

The fourth proportional to 3.42, 4.72 and 2.05 is: 2.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.42 : 4.72 = 2.05 : x
  2. Step 2: Convert to fraction form
    3.42/4.72 = 2.05/x
  3. Step 3: Cross multiply
    3.42x = 4.72 × 2.05
  4. Step 4: Simplify right side
    3.42x = 9.68
  5. Step 5: Solve for x
    x = 9.68/3.42
  6. Step 6: Final answer
    x = 2.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.