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Finding the Fourth Proportional to 30, 41.10 and 29.73

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Solution

The fourth proportional to 30, 41.10 and 29.73 is: 40.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 41.10 = 29.73 : x
  2. Step 2: Convert to fraction form
    30/41.10 = 29.73/x
  3. Step 3: Cross multiply
    30x = 41.10 × 29.73
  4. Step 4: Simplify right side
    30x = 1,221.90
  5. Step 5: Solve for x
    x = 1,221.90/30
  6. Step 6: Final answer
    x = 40.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.