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Finding the Fourth Proportional to 81.45, 122.90 and 77.67

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Solution

The fourth proportional to 81.45, 122.90 and 77.67 is: 117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.45 : 122.90 = 77.67 : x
  2. Step 2: Convert to fraction form
    81.45/122.90 = 77.67/x
  3. Step 3: Cross multiply
    81.45x = 122.90 × 77.67
  4. Step 4: Simplify right side
    81.45x = 9,545.25
  5. Step 5: Solve for x
    x = 9,545.25/81.45
  6. Step 6: Final answer
    x = 117.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.