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Finding the Fourth Proportional to 45.22, 67.78 and 30.74

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Solution

The fourth proportional to 45.22, 67.78 and 30.74 is: 46.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.22 : 67.78 = 30.74 : x
  2. Step 2: Convert to fraction form
    45.22/67.78 = 30.74/x
  3. Step 3: Cross multiply
    45.22x = 67.78 × 30.74
  4. Step 4: Simplify right side
    45.22x = 2,083.56
  5. Step 5: Solve for x
    x = 2,083.56/45.22
  6. Step 6: Final answer
    x = 46.08

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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.