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Finding the Fourth Proportional to 65.26, 97.81 and 33.14

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Solution

The fourth proportional to 65.26, 97.81 and 33.14 is: 49.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.26 : 97.81 = 33.14 : x
  2. Step 2: Convert to fraction form
    65.26/97.81 = 33.14/x
  3. Step 3: Cross multiply
    65.26x = 97.81 × 33.14
  4. Step 4: Simplify right side
    65.26x = 3,241.42
  5. Step 5: Solve for x
    x = 3,241.42/65.26
  6. Step 6: Final answer
    x = 49.67

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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.