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Finding the Fourth Proportional to 30.67, 42.19 and 30.22

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Solution

The fourth proportional to 30.67, 42.19 and 30.22 is: 41.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.67 : 42.19 = 30.22 : x
  2. Step 2: Convert to fraction form
    30.67/42.19 = 30.22/x
  3. Step 3: Cross multiply
    30.67x = 42.19 × 30.22
  4. Step 4: Simplify right side
    30.67x = 1,274.80
  5. Step 5: Solve for x
    x = 1,274.80/30.67
  6. Step 6: Final answer
    x = 41.57

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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.