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Finding the Fourth Proportional to 161.97, 242.95 and 65.78

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Solution

The fourth proportional to 161.97, 242.95 and 65.78 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.97 : 242.95 = 65.78 : x
  2. Step 2: Convert to fraction form
    161.97/242.95 = 65.78/x
  3. Step 3: Cross multiply
    161.97x = 242.95 × 65.78
  4. Step 4: Simplify right side
    161.97x = 15,982.02
  5. Step 5: Solve for x
    x = 15,982.02/161.97
  6. Step 6: Final answer
    x = 98.67

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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.