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Finding the Fourth Proportional to 82.05, 121.98 and 79.62

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Solution

The fourth proportional to 82.05, 121.98 and 79.62 is: 118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.05 : 121.98 = 79.62 : x
  2. Step 2: Convert to fraction form
    82.05/121.98 = 79.62/x
  3. Step 3: Cross multiply
    82.05x = 121.98 × 79.62
  4. Step 4: Simplify right side
    82.05x = 9,712.05
  5. Step 5: Solve for x
    x = 9,712.05/82.05
  6. Step 6: Final answer
    x = 118.37

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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.