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Finding the Fourth Proportional to 4.11, 6.16 and 3.77

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Solution

The fourth proportional to 4.11, 6.16 and 3.77 is: 5.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.11 : 6.16 = 3.77 : x
  2. Step 2: Convert to fraction form
    4.11/6.16 = 3.77/x
  3. Step 3: Cross multiply
    4.11x = 6.16 × 3.77
  4. Step 4: Simplify right side
    4.11x = 23.22
  5. Step 5: Solve for x
    x = 23.22/4.11
  6. Step 6: Final answer
    x = 5.65

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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.