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Finding the Fourth Proportional to 92.99, 138.81 and 80.84

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Solution

The fourth proportional to 92.99, 138.81 and 80.84 is: 120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.99 : 138.81 = 80.84 : x
  2. Step 2: Convert to fraction form
    92.99/138.81 = 80.84/x
  3. Step 3: Cross multiply
    92.99x = 138.81 × 80.84
  4. Step 4: Simplify right side
    92.99x = 11,220.71
  5. Step 5: Solve for x
    x = 11,220.71/92.99
  6. Step 6: Final answer
    x = 120.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.