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Finding the Fourth Proportional to 30.67, 46.00 and 9.00

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Solution

The fourth proportional to 30.67, 46.00 and 9.00 is: 13.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.67 : 46.00 = 9.00 : x
  2. Step 2: Convert to fraction form
    30.67/46.00 = 9.00/x
  3. Step 3: Cross multiply
    30.67x = 46.00 × 9.00
  4. Step 4: Simplify right side
    30.67x = 413.91
  5. Step 5: Solve for x
    x = 413.91/30.67
  6. Step 6: Final answer
    x = 13.50

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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.