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Finding the Fourth Proportional to 29.05, 43.54 and 20.00

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Solution

The fourth proportional to 29.05, 43.54 and 20.00 is: 29.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.05 : 43.54 = 20.00 : x
  2. Step 2: Convert to fraction form
    29.05/43.54 = 20.00/x
  3. Step 3: Cross multiply
    29.05x = 43.54 × 20.00
  4. Step 4: Simplify right side
    29.05x = 870.86
  5. Step 5: Solve for x
    x = 870.86/29.05
  6. Step 6: Final answer
    x = 29.98

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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.