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Finding the Fourth Proportional to 30.67, 42.24 and 29.20

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Solution

The fourth proportional to 30.67, 42.24 and 29.20 is: 40.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.67 : 42.24 = 29.20 : x
  2. Step 2: Convert to fraction form
    30.67/42.24 = 29.20/x
  3. Step 3: Cross multiply
    30.67x = 42.24 × 29.20
  4. Step 4: Simplify right side
    30.67x = 1,233.41
  5. Step 5: Solve for x
    x = 1,233.41/30.67
  6. Step 6: Final answer
    x = 40.22

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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.