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Finding the Fourth Proportional to 82.06, 122.78 and 49.57

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Solution

The fourth proportional to 82.06, 122.78 and 49.57 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.06 : 122.78 = 49.57 : x
  2. Step 2: Convert to fraction form
    82.06/122.78 = 49.57/x
  3. Step 3: Cross multiply
    82.06x = 122.78 × 49.57
  4. Step 4: Simplify right side
    82.06x = 6,086.20
  5. Step 5: Solve for x
    x = 6,086.20/82.06
  6. Step 6: Final answer
    x = 74.17

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Why These Related Problems?

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