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Finding the Fourth Proportional to 45.96, 68.78 and 32.44

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Solution

The fourth proportional to 45.96, 68.78 and 32.44 is: 48.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.96 : 68.78 = 32.44 : x
  2. Step 2: Convert to fraction form
    45.96/68.78 = 32.44/x
  3. Step 3: Cross multiply
    45.96x = 68.78 × 32.44
  4. Step 4: Simplify right side
    45.96x = 2,231.22
  5. Step 5: Solve for x
    x = 2,231.22/45.96
  6. Step 6: Final answer
    x = 48.55

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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.