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Finding the Fourth Proportional to 39.80, 54.86 and 27.50

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Solution

The fourth proportional to 39.80, 54.86 and 27.50 is: 37.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.80 : 54.86 = 27.50 : x
  2. Step 2: Convert to fraction form
    39.80/54.86 = 27.50/x
  3. Step 3: Cross multiply
    39.80x = 54.86 × 27.50
  4. Step 4: Simplify right side
    39.80x = 1,508.65
  5. Step 5: Solve for x
    x = 1,508.65/39.80
  6. Step 6: Final answer
    x = 37.91

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Why These Related Problems?

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