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Finding the Fourth Proportional to 82.03, 122.62 and 72.04

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Solution

The fourth proportional to 82.03, 122.62 and 72.04 is: 107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.03 : 122.62 = 72.04 : x
  2. Step 2: Convert to fraction form
    82.03/122.62 = 72.04/x
  3. Step 3: Cross multiply
    82.03x = 122.62 × 72.04
  4. Step 4: Simplify right side
    82.03x = 8,832.57
  5. Step 5: Solve for x
    x = 8,832.57/82.03
  6. Step 6: Final answer
    x = 107.68

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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.