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Finding the Fourth Proportional to 29.03, 40.05 and 25.97

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Solution

The fourth proportional to 29.03, 40.05 and 25.97 is: 35.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.03 : 40.05 = 25.97 : x
  2. Step 2: Convert to fraction form
    29.03/40.05 = 25.97/x
  3. Step 3: Cross multiply
    29.03x = 40.05 × 25.97
  4. Step 4: Simplify right side
    29.03x = 1,039.90
  5. Step 5: Solve for x
    x = 1,039.90/29.03
  6. Step 6: Final answer
    x = 35.83

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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.