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Finding the Fourth Proportional to 67.44, 92.94 and 54.14

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Solution

The fourth proportional to 67.44, 92.94 and 54.14 is: 74.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.44 : 92.94 = 54.14 : x
  2. Step 2: Convert to fraction form
    67.44/92.94 = 54.14/x
  3. Step 3: Cross multiply
    67.44x = 92.94 × 54.14
  4. Step 4: Simplify right side
    67.44x = 5,031.56
  5. Step 5: Solve for x
    x = 5,031.56/67.44
  6. Step 6: Final answer
    x = 74.60

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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.