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Finding the Fourth Proportional to 30.62, 46 and 16.19

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Solution

The fourth proportional to 30.62, 46 and 16.19 is: 24.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.62 : 46 = 16.19 : x
  2. Step 2: Convert to fraction form
    30.62/46 = 16.19/x
  3. Step 3: Cross multiply
    30.62x = 46 × 16.19
  4. Step 4: Simplify right side
    30.62x = 744.74
  5. Step 5: Solve for x
    x = 744.74/30.62
  6. Step 6: Final answer
    x = 24.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.