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Finding the Fourth Proportional to 30.33, 45.46 and 16.80

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Solution

The fourth proportional to 30.33, 45.46 and 16.80 is: 25.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.33 : 45.46 = 16.80 : x
  2. Step 2: Convert to fraction form
    30.33/45.46 = 16.80/x
  3. Step 3: Cross multiply
    30.33x = 45.46 × 16.80
  4. Step 4: Simplify right side
    30.33x = 763.73
  5. Step 5: Solve for x
    x = 763.73/30.33
  6. Step 6: Final answer
    x = 25.18

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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.