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Finding the Fourth Proportional to 95.67, 131.85 and 89.01

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Solution

The fourth proportional to 95.67, 131.85 and 89.01 is: 122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.67 : 131.85 = 89.01 : x
  2. Step 2: Convert to fraction form
    95.67/131.85 = 89.01/x
  3. Step 3: Cross multiply
    95.67x = 131.85 × 89.01
  4. Step 4: Simplify right side
    95.67x = 11,735.97
  5. Step 5: Solve for x
    x = 11,735.97/95.67
  6. Step 6: Final answer
    x = 122.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.