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Finding the Fourth Proportional to 29.06, 43.61 and 20.03

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Solution

The fourth proportional to 29.06, 43.61 and 20.03 is: 30.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.06 : 43.61 = 20.03 : x
  2. Step 2: Convert to fraction form
    29.06/43.61 = 20.03/x
  3. Step 3: Cross multiply
    29.06x = 43.61 × 20.03
  4. Step 4: Simplify right side
    29.06x = 873.19
  5. Step 5: Solve for x
    x = 873.19/29.06
  6. Step 6: Final answer
    x = 30.05

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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.