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Finding the Fourth Proportional to 30.69, 46.05 and 20.55

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Solution

The fourth proportional to 30.69, 46.05 and 20.55 is: 30.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.69 : 46.05 = 20.55 : x
  2. Step 2: Convert to fraction form
    30.69/46.05 = 20.55/x
  3. Step 3: Cross multiply
    30.69x = 46.05 × 20.55
  4. Step 4: Simplify right side
    30.69x = 946.33
  5. Step 5: Solve for x
    x = 946.33/30.69
  6. Step 6: Final answer
    x = 30.84

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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.