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Finding the Fourth Proportional to 54.76, 81.74 and 49.42

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Solution

The fourth proportional to 54.76, 81.74 and 49.42 is: 73.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 81.74 = 49.42 : x
  2. Step 2: Convert to fraction form
    54.76/81.74 = 49.42/x
  3. Step 3: Cross multiply
    54.76x = 81.74 × 49.42
  4. Step 4: Simplify right side
    54.76x = 4,039.59
  5. Step 5: Solve for x
    x = 4,039.59/54.76
  6. Step 6: Final answer
    x = 73.77

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Why These Related Problems?

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