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Finding the Fourth Proportional to 35.73, 49.23 and 29.63

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Solution

The fourth proportional to 35.73, 49.23 and 29.63 is: 40.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.73 : 49.23 = 29.63 : x
  2. Step 2: Convert to fraction form
    35.73/49.23 = 29.63/x
  3. Step 3: Cross multiply
    35.73x = 49.23 × 29.63
  4. Step 4: Simplify right side
    35.73x = 1,458.68
  5. Step 5: Solve for x
    x = 1,458.68/35.73
  6. Step 6: Final answer
    x = 40.83

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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.