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Finding the Fourth Proportional to 42.90, 63.82 and 41.73

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Solution

The fourth proportional to 42.90, 63.82 and 41.73 is: 62.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.90 : 63.82 = 41.73 : x
  2. Step 2: Convert to fraction form
    42.90/63.82 = 41.73/x
  3. Step 3: Cross multiply
    42.90x = 63.82 × 41.73
  4. Step 4: Simplify right side
    42.90x = 2,663.00
  5. Step 5: Solve for x
    x = 2,663.00/42.90
  6. Step 6: Final answer
    x = 62.07

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