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Finding the Fourth Proportional to 54.69, 82.00 and 28.62

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Solution

The fourth proportional to 54.69, 82.00 and 28.62 is: 42.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 82.00 = 28.62 : x
  2. Step 2: Convert to fraction form
    54.69/82.00 = 28.62/x
  3. Step 3: Cross multiply
    54.69x = 82.00 × 28.62
  4. Step 4: Simplify right side
    54.69x = 2,346.71
  5. Step 5: Solve for x
    x = 2,346.71/54.69
  6. Step 6: Final answer
    x = 42.91

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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.