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Finding the Fourth Proportional to 40.75, 55.84 and 40.18

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Solution

The fourth proportional to 40.75, 55.84 and 40.18 is: 55.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.75 : 55.84 = 40.18 : x
  2. Step 2: Convert to fraction form
    40.75/55.84 = 40.18/x
  3. Step 3: Cross multiply
    40.75x = 55.84 × 40.18
  4. Step 4: Simplify right side
    40.75x = 2,243.66
  5. Step 5: Solve for x
    x = 2,243.66/40.75
  6. Step 6: Final answer
    x = 55.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.