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Finding the Fourth Proportional to 29.23, 43.64 and 29.09

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Solution

The fourth proportional to 29.23, 43.64 and 29.09 is: 43.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.23 : 43.64 = 29.09 : x
  2. Step 2: Convert to fraction form
    29.23/43.64 = 29.09/x
  3. Step 3: Cross multiply
    29.23x = 43.64 × 29.09
  4. Step 4: Simplify right side
    29.23x = 1,269.49
  5. Step 5: Solve for x
    x = 1,269.49/29.23
  6. Step 6: Final answer
    x = 43.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.