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Finding the Fourth Proportional to 29.67, 44.50 and 28.09

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Solution

The fourth proportional to 29.67, 44.50 and 28.09 is: 42.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.67 : 44.50 = 28.09 : x
  2. Step 2: Convert to fraction form
    29.67/44.50 = 28.09/x
  3. Step 3: Cross multiply
    29.67x = 44.50 × 28.09
  4. Step 4: Simplify right side
    29.67x = 1,250.01
  5. Step 5: Solve for x
    x = 1,250.01/29.67
  6. Step 6: Final answer
    x = 42.13

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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.