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Finding the Fourth Proportional to 67.34, 92.93 and 37.84

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Solution

The fourth proportional to 67.34, 92.93 and 37.84 is: 52.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.34 : 92.93 = 37.84 : x
  2. Step 2: Convert to fraction form
    67.34/92.93 = 37.84/x
  3. Step 3: Cross multiply
    67.34x = 92.93 × 37.84
  4. Step 4: Simplify right side
    67.34x = 3,516.47
  5. Step 5: Solve for x
    x = 3,516.47/67.34
  6. Step 6: Final answer
    x = 52.22

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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.