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Finding the Fourth Proportional to 40.49, 55.78 and 36.84

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Solution

The fourth proportional to 40.49, 55.78 and 36.84 is: 50.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.49 : 55.78 = 36.84 : x
  2. Step 2: Convert to fraction form
    40.49/55.78 = 36.84/x
  3. Step 3: Cross multiply
    40.49x = 55.78 × 36.84
  4. Step 4: Simplify right side
    40.49x = 2,054.94
  5. Step 5: Solve for x
    x = 2,054.94/40.49
  6. Step 6: Final answer
    x = 50.75

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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.