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Finding the Fourth Proportional to 45.66, 68.46 and 33.62

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Solution

The fourth proportional to 45.66, 68.46 and 33.62 is: 50.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.66 : 68.46 = 33.62 : x
  2. Step 2: Convert to fraction form
    45.66/68.46 = 33.62/x
  3. Step 3: Cross multiply
    45.66x = 68.46 × 33.62
  4. Step 4: Simplify right side
    45.66x = 2,301.63
  5. Step 5: Solve for x
    x = 2,301.63/45.66
  6. Step 6: Final answer
    x = 50.41

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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.