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Finding the Fourth Proportional to 67.76, 93.46 and 50.34

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Solution

The fourth proportional to 67.76, 93.46 and 50.34 is: 69.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.76 : 93.46 = 50.34 : x
  2. Step 2: Convert to fraction form
    67.76/93.46 = 50.34/x
  3. Step 3: Cross multiply
    67.76x = 93.46 × 50.34
  4. Step 4: Simplify right side
    67.76x = 4,704.78
  5. Step 5: Solve for x
    x = 4,704.78/67.76
  6. Step 6: Final answer
    x = 69.43

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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.