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Finding the Fourth Proportional to 30.08, 41.69 and 24.68

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Solution

The fourth proportional to 30.08, 41.69 and 24.68 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.08 : 41.69 = 24.68 : x
  2. Step 2: Convert to fraction form
    30.08/41.69 = 24.68/x
  3. Step 3: Cross multiply
    30.08x = 41.69 × 24.68
  4. Step 4: Simplify right side
    30.08x = 1,028.91
  5. Step 5: Solve for x
    x = 1,028.91/30.08
  6. Step 6: Final answer
    x = 34.21

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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.