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Finding the Fourth Proportional to 31.41, 43.28 and 30.05

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Solution

The fourth proportional to 31.41, 43.28 and 30.05 is: 41.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.41 : 43.28 = 30.05 : x
  2. Step 2: Convert to fraction form
    31.41/43.28 = 30.05/x
  3. Step 3: Cross multiply
    31.41x = 43.28 × 30.05
  4. Step 4: Simplify right side
    31.41x = 1,300.20
  5. Step 5: Solve for x
    x = 1,300.20/31.41
  6. Step 6: Final answer
    x = 41.39

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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.