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Finding the Fourth Proportional to 72.80, 100.04 and 68.24

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Solution

The fourth proportional to 72.80, 100.04 and 68.24 is: 93.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.80 : 100.04 = 68.24 : x
  2. Step 2: Convert to fraction form
    72.80/100.04 = 68.24/x
  3. Step 3: Cross multiply
    72.80x = 100.04 × 68.24
  4. Step 4: Simplify right side
    72.80x = 6,826.73
  5. Step 5: Solve for x
    x = 6,826.73/72.80
  6. Step 6: Final answer
    x = 93.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.