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Finding the Fourth Proportional to 54.50, 75.26 and 42.23

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Solution

The fourth proportional to 54.50, 75.26 and 42.23 is: 58.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 75.26 = 42.23 : x
  2. Step 2: Convert to fraction form
    54.50/75.26 = 42.23/x
  3. Step 3: Cross multiply
    54.50x = 75.26 × 42.23
  4. Step 4: Simplify right side
    54.50x = 3,178.52
  5. Step 5: Solve for x
    x = 3,178.52/54.50
  6. Step 6: Final answer
    x = 58.33

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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.