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Finding the Fourth Proportional to 67.10, 92.41 and 54.78

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Solution

The fourth proportional to 67.10, 92.41 and 54.78 is: 75.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.10 : 92.41 = 54.78 : x
  2. Step 2: Convert to fraction form
    67.10/92.41 = 54.78/x
  3. Step 3: Cross multiply
    67.10x = 92.41 × 54.78
  4. Step 4: Simplify right side
    67.10x = 5,061.74
  5. Step 5: Solve for x
    x = 5,061.74/67.10
  6. Step 6: Final answer
    x = 75.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.