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Finding the Fourth Proportional to 3.81, 5.64 and 3.81

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Solution

The fourth proportional to 3.81, 5.64 and 3.81 is: 5.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.81 : 5.64 = 3.81 : x
  2. Step 2: Convert to fraction form
    3.81/5.64 = 3.81/x
  3. Step 3: Cross multiply
    3.81x = 5.64 × 3.81
  4. Step 4: Simplify right side
    3.81x = 21.49
  5. Step 5: Solve for x
    x = 21.49/3.81
  6. Step 6: Final answer
    x = 5.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.