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Finding the Fourth Proportional to 72.72, 108.38 and 68.78

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Solution

The fourth proportional to 72.72, 108.38 and 68.78 is: 102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.72 : 108.38 = 68.78 : x
  2. Step 2: Convert to fraction form
    72.72/108.38 = 68.78/x
  3. Step 3: Cross multiply
    72.72x = 108.38 × 68.78
  4. Step 4: Simplify right side
    72.72x = 7,454.38
  5. Step 5: Solve for x
    x = 7,454.38/72.72
  6. Step 6: Final answer
    x = 102.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.