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Finding the Fourth Proportional to 54.69, 82.05 and 18.60

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Solution

The fourth proportional to 54.69, 82.05 and 18.60 is: 27.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 82.05 = 18.60 : x
  2. Step 2: Convert to fraction form
    54.69/82.05 = 18.60/x
  3. Step 3: Cross multiply
    54.69x = 82.05 × 18.60
  4. Step 4: Simplify right side
    54.69x = 1,526.13
  5. Step 5: Solve for x
    x = 1,526.13/54.69
  6. Step 6: Final answer
    x = 27.91

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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.