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Finding the Fourth Proportional to 40.20, 55.46 and 27.75

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Solution

The fourth proportional to 40.20, 55.46 and 27.75 is: 38.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.20 : 55.46 = 27.75 : x
  2. Step 2: Convert to fraction form
    40.20/55.46 = 27.75/x
  3. Step 3: Cross multiply
    40.20x = 55.46 × 27.75
  4. Step 4: Simplify right side
    40.20x = 1,539.02
  5. Step 5: Solve for x
    x = 1,539.02/40.20
  6. Step 6: Final answer
    x = 38.28

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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.