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Finding the Fourth Proportional to 67.16, 100.49 and 50.00

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Solution

The fourth proportional to 67.16, 100.49 and 50.00 is: 74.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.16 : 100.49 = 50.00 : x
  2. Step 2: Convert to fraction form
    67.16/100.49 = 50.00/x
  3. Step 3: Cross multiply
    67.16x = 100.49 × 50.00
  4. Step 4: Simplify right side
    67.16x = 5,023.75
  5. Step 5: Solve for x
    x = 5,023.75/67.16
  6. Step 6: Final answer
    x = 74.81

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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.