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Finding the Fourth Proportional to 42, 57.82 and 37.39

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Solution

The fourth proportional to 42, 57.82 and 37.39 is: 51.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 57.82 = 37.39 : x
  2. Step 2: Convert to fraction form
    42/57.82 = 37.39/x
  3. Step 3: Cross multiply
    42x = 57.82 × 37.39
  4. Step 4: Simplify right side
    42x = 2,161.41
  5. Step 5: Solve for x
    x = 2,161.41/42
  6. Step 6: Final answer
    x = 51.46

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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.