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Finding the Fourth Proportional to 40.25, 55.39 and 35.05

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Solution

The fourth proportional to 40.25, 55.39 and 35.05 is: 48.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.25 : 55.39 = 35.05 : x
  2. Step 2: Convert to fraction form
    40.25/55.39 = 35.05/x
  3. Step 3: Cross multiply
    40.25x = 55.39 × 35.05
  4. Step 4: Simplify right side
    40.25x = 1,941.24
  5. Step 5: Solve for x
    x = 1,941.24/40.25
  6. Step 6: Final answer
    x = 48.24

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