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Finding the Fourth Proportional to 5.95, 8.22 and 3.80

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Solution

The fourth proportional to 5.95, 8.22 and 3.80 is: 5.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.95 : 8.22 = 3.80 : x
  2. Step 2: Convert to fraction form
    5.95/8.22 = 3.80/x
  3. Step 3: Cross multiply
    5.95x = 8.22 × 3.80
  4. Step 4: Simplify right side
    5.95x = 31.24
  5. Step 5: Solve for x
    x = 31.24/5.95
  6. Step 6: Final answer
    x = 5.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.