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Finding the Fourth Proportional to 77.43, 115.47 and 72.84

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Solution

The fourth proportional to 77.43, 115.47 and 72.84 is: 108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.43 : 115.47 = 72.84 : x
  2. Step 2: Convert to fraction form
    77.43/115.47 = 72.84/x
  3. Step 3: Cross multiply
    77.43x = 115.47 × 72.84
  4. Step 4: Simplify right side
    77.43x = 8,410.83
  5. Step 5: Solve for x
    x = 8,410.83/77.43
  6. Step 6: Final answer
    x = 108.63

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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.