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Finding the Fourth Proportional to 3.77, 5.64 and 2.26

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Solution

The fourth proportional to 3.77, 5.64 and 2.26 is: 3.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.77 : 5.64 = 2.26 : x
  2. Step 2: Convert to fraction form
    3.77/5.64 = 2.26/x
  3. Step 3: Cross multiply
    3.77x = 5.64 × 2.26
  4. Step 4: Simplify right side
    3.77x = 12.73
  5. Step 5: Solve for x
    x = 12.73/3.77
  6. Step 6: Final answer
    x = 3.38

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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.