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Finding the Fourth Proportional to 42.12, 58.16 and 27.38

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Solution

The fourth proportional to 42.12, 58.16 and 27.38 is: 37.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.12 : 58.16 = 27.38 : x
  2. Step 2: Convert to fraction form
    42.12/58.16 = 27.38/x
  3. Step 3: Cross multiply
    42.12x = 58.16 × 27.38
  4. Step 4: Simplify right side
    42.12x = 1,591.99
  5. Step 5: Solve for x
    x = 1,591.99/42.12
  6. Step 6: Final answer
    x = 37.80

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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.