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Finding the Fourth Proportional to 88.67, 122.36 and 49.85

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Solution

The fourth proportional to 88.67, 122.36 and 49.85 is: 68.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.67 : 122.36 = 49.85 : x
  2. Step 2: Convert to fraction form
    88.67/122.36 = 49.85/x
  3. Step 3: Cross multiply
    88.67x = 122.36 × 49.85
  4. Step 4: Simplify right side
    88.67x = 6,099.93
  5. Step 5: Solve for x
    x = 6,099.93/88.67
  6. Step 6: Final answer
    x = 68.80

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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.