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Finding the Fourth Proportional to 30.46, 45.67 and 12.43

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Solution

The fourth proportional to 30.46, 45.67 and 12.43 is: 18.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.46 : 45.67 = 12.43 : x
  2. Step 2: Convert to fraction form
    30.46/45.67 = 12.43/x
  3. Step 3: Cross multiply
    30.46x = 45.67 × 12.43
  4. Step 4: Simplify right side
    30.46x = 567.68
  5. Step 5: Solve for x
    x = 567.68/30.46
  6. Step 6: Final answer
    x = 18.64

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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.