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Finding the Fourth Proportional to 67.39, 101.05 and 30.83

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Solution

The fourth proportional to 67.39, 101.05 and 30.83 is: 46.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.39 : 101.05 = 30.83 : x
  2. Step 2: Convert to fraction form
    67.39/101.05 = 30.83/x
  3. Step 3: Cross multiply
    67.39x = 101.05 × 30.83
  4. Step 4: Simplify right side
    67.39x = 3,114.79
  5. Step 5: Solve for x
    x = 3,114.79/67.39
  6. Step 6: Final answer
    x = 46.22

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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.