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Finding the Fourth Proportional to 54.93, 82.29 and 37.80

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Solution

The fourth proportional to 54.93, 82.29 and 37.80 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.93 : 82.29 = 37.80 : x
  2. Step 2: Convert to fraction form
    54.93/82.29 = 37.80/x
  3. Step 3: Cross multiply
    54.93x = 82.29 × 37.80
  4. Step 4: Simplify right side
    54.93x = 3,110.56
  5. Step 5: Solve for x
    x = 3,110.56/54.93
  6. Step 6: Final answer
    x = 56.63

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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.