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Finding the Fourth Proportional to 50.66, 69.81 and 33.16

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Solution

The fourth proportional to 50.66, 69.81 and 33.16 is: 45.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.66 : 69.81 = 33.16 : x
  2. Step 2: Convert to fraction form
    50.66/69.81 = 33.16/x
  3. Step 3: Cross multiply
    50.66x = 69.81 × 33.16
  4. Step 4: Simplify right side
    50.66x = 2,314.90
  5. Step 5: Solve for x
    x = 2,314.90/50.66
  6. Step 6: Final answer
    x = 45.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.