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Finding the Fourth Proportional to 82.37, 122.95 and 72.11

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Solution

The fourth proportional to 82.37, 122.95 and 72.11 is: 107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.37 : 122.95 = 72.11 : x
  2. Step 2: Convert to fraction form
    82.37/122.95 = 72.11/x
  3. Step 3: Cross multiply
    82.37x = 122.95 × 72.11
  4. Step 4: Simplify right side
    82.37x = 8,866.05
  5. Step 5: Solve for x
    x = 8,866.05/82.37
  6. Step 6: Final answer
    x = 107.63

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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.