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Finding the Fourth Proportional to 30.78, 46.22 and 19.40

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Solution

The fourth proportional to 30.78, 46.22 and 19.40 is: 29.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.78 : 46.22 = 19.40 : x
  2. Step 2: Convert to fraction form
    30.78/46.22 = 19.40/x
  3. Step 3: Cross multiply
    30.78x = 46.22 × 19.40
  4. Step 4: Simplify right side
    30.78x = 896.34
  5. Step 5: Solve for x
    x = 896.34/30.78
  6. Step 6: Final answer
    x = 29.12

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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.