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Finding the Fourth Proportional to 36.55, 54.60 and 35.83

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Solution

The fourth proportional to 36.55, 54.60 and 35.83 is: 53.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.55 : 54.60 = 35.83 : x
  2. Step 2: Convert to fraction form
    36.55/54.60 = 35.83/x
  3. Step 3: Cross multiply
    36.55x = 54.60 × 35.83
  4. Step 4: Simplify right side
    36.55x = 1,956.14
  5. Step 5: Solve for x
    x = 1,956.14/36.55
  6. Step 6: Final answer
    x = 53.52

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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.