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Finding the Fourth Proportional to 30.05, 41.46 and 17.12

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Solution

The fourth proportional to 30.05, 41.46 and 17.12 is: 23.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.05 : 41.46 = 17.12 : x
  2. Step 2: Convert to fraction form
    30.05/41.46 = 17.12/x
  3. Step 3: Cross multiply
    30.05x = 41.46 × 17.12
  4. Step 4: Simplify right side
    30.05x = 709.59
  5. Step 5: Solve for x
    x = 709.59/30.05
  6. Step 6: Final answer
    x = 23.62

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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.