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Finding the Fourth Proportional to 67.83, 93.65 and 50.33

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Solution

The fourth proportional to 67.83, 93.65 and 50.33 is: 69.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.83 : 93.65 = 50.33 : x
  2. Step 2: Convert to fraction form
    67.83/93.65 = 50.33/x
  3. Step 3: Cross multiply
    67.83x = 93.65 × 50.33
  4. Step 4: Simplify right side
    67.83x = 4,712.68
  5. Step 5: Solve for x
    x = 4,712.68/67.83
  6. Step 6: Final answer
    x = 69.48

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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.