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Finding the Fourth Proportional to 54.40, 74.94 and 49.52

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Solution

The fourth proportional to 54.40, 74.94 and 49.52 is: 68.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.40 : 74.94 = 49.52 : x
  2. Step 2: Convert to fraction form
    54.40/74.94 = 49.52/x
  3. Step 3: Cross multiply
    54.40x = 74.94 × 49.52
  4. Step 4: Simplify right side
    54.40x = 3,711.03
  5. Step 5: Solve for x
    x = 3,711.03/54.40
  6. Step 6: Final answer
    x = 68.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.