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Finding the Fourth Proportional to 30.38, 42.09 and 30.21

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Solution

The fourth proportional to 30.38, 42.09 and 30.21 is: 41.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.38 : 42.09 = 30.21 : x
  2. Step 2: Convert to fraction form
    30.38/42.09 = 30.21/x
  3. Step 3: Cross multiply
    30.38x = 42.09 × 30.21
  4. Step 4: Simplify right side
    30.38x = 1,271.27
  5. Step 5: Solve for x
    x = 1,271.27/30.38
  6. Step 6: Final answer
    x = 41.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.