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Finding the Fourth Proportional to 42.83, 63.96 and 37.43

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Solution

The fourth proportional to 42.83, 63.96 and 37.43 is: 55.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.83 : 63.96 = 37.43 : x
  2. Step 2: Convert to fraction form
    42.83/63.96 = 37.43/x
  3. Step 3: Cross multiply
    42.83x = 63.96 × 37.43
  4. Step 4: Simplify right side
    42.83x = 2,394.02
  5. Step 5: Solve for x
    x = 2,394.02/42.83
  6. Step 6: Final answer
    x = 55.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.