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Finding the Fourth Proportional to 81.55, 122.34 and 49.69

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Solution

The fourth proportional to 81.55, 122.34 and 49.69 is: 74.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.55 : 122.34 = 49.69 : x
  2. Step 2: Convert to fraction form
    81.55/122.34 = 49.69/x
  3. Step 3: Cross multiply
    81.55x = 122.34 × 49.69
  4. Step 4: Simplify right side
    81.55x = 6,079.07
  5. Step 5: Solve for x
    x = 6,079.07/81.55
  6. Step 6: Final answer
    x = 74.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.