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Finding the Fourth Proportional to 55.46, 83.05 and 50.33

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Solution

The fourth proportional to 55.46, 83.05 and 50.33 is: 75.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.46 : 83.05 = 50.33 : x
  2. Step 2: Convert to fraction form
    55.46/83.05 = 50.33/x
  3. Step 3: Cross multiply
    55.46x = 83.05 × 50.33
  4. Step 4: Simplify right side
    55.46x = 4,180.27
  5. Step 5: Solve for x
    x = 4,180.27/55.46
  6. Step 6: Final answer
    x = 75.37

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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.