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Finding the Fourth Proportional to 54.75, 82.05 and 37.59

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Solution

The fourth proportional to 54.75, 82.05 and 37.59 is: 56.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 82.05 = 37.59 : x
  2. Step 2: Convert to fraction form
    54.75/82.05 = 37.59/x
  3. Step 3: Cross multiply
    54.75x = 82.05 × 37.59
  4. Step 4: Simplify right side
    54.75x = 3,084.26
  5. Step 5: Solve for x
    x = 3,084.26/54.75
  6. Step 6: Final answer
    x = 56.33

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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.