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Finding the Fourth Proportional to 3.80, 5.66 and 3.77

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Solution

The fourth proportional to 3.80, 5.66 and 3.77 is: 5.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 5.66 = 3.77 : x
  2. Step 2: Convert to fraction form
    3.80/5.66 = 3.77/x
  3. Step 3: Cross multiply
    3.80x = 5.66 × 3.77
  4. Step 4: Simplify right side
    3.80x = 21.32
  5. Step 5: Solve for x
    x = 21.32/3.80
  6. Step 6: Final answer
    x = 5.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.