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Finding the Fourth Proportional to 2.01, 3.03 and 1.64

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Solution

The fourth proportional to 2.01, 3.03 and 1.64 is: 2.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.01 : 3.03 = 1.64 : x
  2. Step 2: Convert to fraction form
    2.01/3.03 = 1.64/x
  3. Step 3: Cross multiply
    2.01x = 3.03 × 1.64
  4. Step 4: Simplify right side
    2.01x = 4.97
  5. Step 5: Solve for x
    x = 4.97/2.01
  6. Step 6: Final answer
    x = 2.47

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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.