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Finding the Fourth Proportional to 44.30, 61.05 and 31.99

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Solution

The fourth proportional to 44.30, 61.05 and 31.99 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.30 : 61.05 = 31.99 : x
  2. Step 2: Convert to fraction form
    44.30/61.05 = 31.99/x
  3. Step 3: Cross multiply
    44.30x = 61.05 × 31.99
  4. Step 4: Simplify right side
    44.30x = 1,952.99
  5. Step 5: Solve for x
    x = 1,952.99/44.30
  6. Step 6: Final answer
    x = 44.09

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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.