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Finding the Fourth Proportional to 84.04, 125.97 and 29.89

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Solution

The fourth proportional to 84.04, 125.97 and 29.89 is: 44.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 125.97 = 29.89 : x
  2. Step 2: Convert to fraction form
    84.04/125.97 = 29.89/x
  3. Step 3: Cross multiply
    84.04x = 125.97 × 29.89
  4. Step 4: Simplify right side
    84.04x = 3,765.24
  5. Step 5: Solve for x
    x = 3,765.24/84.04
  6. Step 6: Final answer
    x = 44.80

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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.