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Finding the Fourth Proportional to 42, 57.98 and 33.44

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Solution

The fourth proportional to 42, 57.98 and 33.44 is: 46.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 57.98 = 33.44 : x
  2. Step 2: Convert to fraction form
    42/57.98 = 33.44/x
  3. Step 3: Cross multiply
    42x = 57.98 × 33.44
  4. Step 4: Simplify right side
    42x = 1,938.85
  5. Step 5: Solve for x
    x = 1,938.85/42
  6. Step 6: Final answer
    x = 46.16

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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.