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Finding the Fourth Proportional to 67.42, 92.96 and 50.14

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Solution

The fourth proportional to 67.42, 92.96 and 50.14 is: 69.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.42 : 92.96 = 50.14 : x
  2. Step 2: Convert to fraction form
    67.42/92.96 = 50.14/x
  3. Step 3: Cross multiply
    67.42x = 92.96 × 50.14
  4. Step 4: Simplify right side
    67.42x = 4,661.01
  5. Step 5: Solve for x
    x = 4,661.01/67.42
  6. Step 6: Final answer
    x = 69.13

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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.