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Finding the Fourth Proportional to 3.20, 4.40 and 3.13

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Solution

The fourth proportional to 3.20, 4.40 and 3.13 is: 4.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.20 : 4.40 = 3.13 : x
  2. Step 2: Convert to fraction form
    3.20/4.40 = 3.13/x
  3. Step 3: Cross multiply
    3.20x = 4.40 × 3.13
  4. Step 4: Simplify right side
    3.20x = 13.77
  5. Step 5: Solve for x
    x = 13.77/3.20
  6. Step 6: Final answer
    x = 4.30

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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.