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Finding the Fourth Proportional to 40.04, 54.96 and 36.40

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Solution

The fourth proportional to 40.04, 54.96 and 36.40 is: 49.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.04 : 54.96 = 36.40 : x
  2. Step 2: Convert to fraction form
    40.04/54.96 = 36.40/x
  3. Step 3: Cross multiply
    40.04x = 54.96 × 36.40
  4. Step 4: Simplify right side
    40.04x = 2,000.54
  5. Step 5: Solve for x
    x = 2,000.54/40.04
  6. Step 6: Final answer
    x = 49.96

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Why These Related Problems?

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