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Finding the Fourth Proportional to 42.19, 58.23 and 27.44

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Solution

The fourth proportional to 42.19, 58.23 and 27.44 is: 37.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.19 : 58.23 = 27.44 : x
  2. Step 2: Convert to fraction form
    42.19/58.23 = 27.44/x
  3. Step 3: Cross multiply
    42.19x = 58.23 × 27.44
  4. Step 4: Simplify right side
    42.19x = 1,597.69
  5. Step 5: Solve for x
    x = 1,597.69/42.19
  6. Step 6: Final answer
    x = 37.87

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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.