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Finding the Fourth Proportional to 40.99, 61.43 and 29.61

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Solution

The fourth proportional to 40.99, 61.43 and 29.61 is: 44.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.99 : 61.43 = 29.61 : x
  2. Step 2: Convert to fraction form
    40.99/61.43 = 29.61/x
  3. Step 3: Cross multiply
    40.99x = 61.43 × 29.61
  4. Step 4: Simplify right side
    40.99x = 1,819.02
  5. Step 5: Solve for x
    x = 1,819.02/40.99
  6. Step 6: Final answer
    x = 44.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.