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Finding the Fourth Proportional to 42.21, 58.09 and 37.57

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Solution

The fourth proportional to 42.21, 58.09 and 37.57 is: 51.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.21 : 58.09 = 37.57 : x
  2. Step 2: Convert to fraction form
    42.21/58.09 = 37.57/x
  3. Step 3: Cross multiply
    42.21x = 58.09 × 37.57
  4. Step 4: Simplify right side
    42.21x = 2,182.44
  5. Step 5: Solve for x
    x = 2,182.44/42.21
  6. Step 6: Final answer
    x = 51.70

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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.