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Finding the Fourth Proportional to 42.10, 63.41 and 35.44

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Solution

The fourth proportional to 42.10, 63.41 and 35.44 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 63.41 = 35.44 : x
  2. Step 2: Convert to fraction form
    42.10/63.41 = 35.44/x
  3. Step 3: Cross multiply
    42.10x = 63.41 × 35.44
  4. Step 4: Simplify right side
    42.10x = 2,247.25
  5. Step 5: Solve for x
    x = 2,247.25/42.10
  6. Step 6: Final answer
    x = 53.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.