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Finding the Fourth Proportional to 173.96, 261.03 and 77.75

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Solution

The fourth proportional to 173.96, 261.03 and 77.75 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.96 : 261.03 = 77.75 : x
  2. Step 2: Convert to fraction form
    173.96/261.03 = 77.75/x
  3. Step 3: Cross multiply
    173.96x = 261.03 × 77.75
  4. Step 4: Simplify right side
    173.96x = 20,295.08
  5. Step 5: Solve for x
    x = 20,295.08/173.96
  6. Step 6: Final answer
    x = 116.67

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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.