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Finding the Fourth Proportional to 36.82, 54.85 and 35.10

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Solution

The fourth proportional to 36.82, 54.85 and 35.10 is: 52.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.82 : 54.85 = 35.10 : x
  2. Step 2: Convert to fraction form
    36.82/54.85 = 35.10/x
  3. Step 3: Cross multiply
    36.82x = 54.85 × 35.10
  4. Step 4: Simplify right side
    36.82x = 1,925.24
  5. Step 5: Solve for x
    x = 1,925.24/36.82
  6. Step 6: Final answer
    x = 52.29

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