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Finding the Fourth Proportional to 54.76, 82.57 and 51.28

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Solution

The fourth proportional to 54.76, 82.57 and 51.28 is: 77.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 82.57 = 51.28 : x
  2. Step 2: Convert to fraction form
    54.76/82.57 = 51.28/x
  3. Step 3: Cross multiply
    54.76x = 82.57 × 51.28
  4. Step 4: Simplify right side
    54.76x = 4,234.19
  5. Step 5: Solve for x
    x = 4,234.19/54.76
  6. Step 6: Final answer
    x = 77.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.