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Finding the Fourth Proportional to 30.78, 46.14 and 22.63

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Solution

The fourth proportional to 30.78, 46.14 and 22.63 is: 33.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.78 : 46.14 = 22.63 : x
  2. Step 2: Convert to fraction form
    30.78/46.14 = 22.63/x
  3. Step 3: Cross multiply
    30.78x = 46.14 × 22.63
  4. Step 4: Simplify right side
    30.78x = 1,044.15
  5. Step 5: Solve for x
    x = 1,044.15/30.78
  6. Step 6: Final answer
    x = 33.92

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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.