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Finding the Fourth Proportional to 77.25, 106.41 and 72.83

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Solution

The fourth proportional to 77.25, 106.41 and 72.83 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.25 : 106.41 = 72.83 : x
  2. Step 2: Convert to fraction form
    77.25/106.41 = 72.83/x
  3. Step 3: Cross multiply
    77.25x = 106.41 × 72.83
  4. Step 4: Simplify right side
    77.25x = 7,750.38
  5. Step 5: Solve for x
    x = 7,750.38/77.25
  6. Step 6: Final answer
    x = 100.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.