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Finding the Fourth Proportional to 42.27, 58.25 and 36.11

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Solution

The fourth proportional to 42.27, 58.25 and 36.11 is: 49.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.27 : 58.25 = 36.11 : x
  2. Step 2: Convert to fraction form
    42.27/58.25 = 36.11/x
  3. Step 3: Cross multiply
    42.27x = 58.25 × 36.11
  4. Step 4: Simplify right side
    42.27x = 2,102.94
  5. Step 5: Solve for x
    x = 2,102.94/42.27
  6. Step 6: Final answer
    x = 49.75

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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.