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Finding the Fourth Proportional to 40.85, 61.00 and 36.75

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Solution

The fourth proportional to 40.85, 61.00 and 36.75 is: 54.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.85 : 61.00 = 36.75 : x
  2. Step 2: Convert to fraction form
    40.85/61.00 = 36.75/x
  3. Step 3: Cross multiply
    40.85x = 61.00 × 36.75
  4. Step 4: Simplify right side
    40.85x = 2,242.09
  5. Step 5: Solve for x
    x = 2,242.09/40.85
  6. Step 6: Final answer
    x = 54.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.