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Finding the Fourth Proportional to 29.15, 40.25 and 23.05

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Solution

The fourth proportional to 29.15, 40.25 and 23.05 is: 31.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.15 : 40.25 = 23.05 : x
  2. Step 2: Convert to fraction form
    29.15/40.25 = 23.05/x
  3. Step 3: Cross multiply
    29.15x = 40.25 × 23.05
  4. Step 4: Simplify right side
    29.15x = 927.87
  5. Step 5: Solve for x
    x = 927.87/29.15
  6. Step 6: Final answer
    x = 31.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.