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Finding the Fourth Proportional to 29.01, 43.67 and 20.05

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Solution

The fourth proportional to 29.01, 43.67 and 20.05 is: 30.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.01 : 43.67 = 20.05 : x
  2. Step 2: Convert to fraction form
    29.01/43.67 = 20.05/x
  3. Step 3: Cross multiply
    29.01x = 43.67 × 20.05
  4. Step 4: Simplify right side
    29.01x = 875.63
  5. Step 5: Solve for x
    x = 875.63/29.01
  6. Step 6: Final answer
    x = 30.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.