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Finding the Fourth Proportional to 30.74, 46.12 and 9.07

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Solution

The fourth proportional to 30.74, 46.12 and 9.07 is: 13.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.74 : 46.12 = 9.07 : x
  2. Step 2: Convert to fraction form
    30.74/46.12 = 9.07/x
  3. Step 3: Cross multiply
    30.74x = 46.12 × 9.07
  4. Step 4: Simplify right side
    30.74x = 418.41
  5. Step 5: Solve for x
    x = 418.41/30.74
  6. Step 6: Final answer
    x = 13.61

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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.