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Finding the Fourth Proportional to 45.90, 68.78 and 18.83

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Solution

The fourth proportional to 45.90, 68.78 and 18.83 is: 28.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.90 : 68.78 = 18.83 : x
  2. Step 2: Convert to fraction form
    45.90/68.78 = 18.83/x
  3. Step 3: Cross multiply
    45.90x = 68.78 × 18.83
  4. Step 4: Simplify right side
    45.90x = 1,295.35
  5. Step 5: Solve for x
    x = 1,295.35/45.90
  6. Step 6: Final answer
    x = 28.22

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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.