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Finding the Fourth Proportional to 71.82, 107.66 and 35.67

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Solution

The fourth proportional to 71.82, 107.66 and 35.67 is: 53.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 107.66 = 35.67 : x
  2. Step 2: Convert to fraction form
    71.82/107.66 = 35.67/x
  3. Step 3: Cross multiply
    71.82x = 107.66 × 35.67
  4. Step 4: Simplify right side
    71.82x = 3,840.05
  5. Step 5: Solve for x
    x = 3,840.05/71.82
  6. Step 6: Final answer
    x = 53.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.