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Finding the Fourth Proportional to 29.30, 40.23 and 25.83

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Solution

The fourth proportional to 29.30, 40.23 and 25.83 is: 35.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.30 : 40.23 = 25.83 : x
  2. Step 2: Convert to fraction form
    29.30/40.23 = 25.83/x
  3. Step 3: Cross multiply
    29.30x = 40.23 × 25.83
  4. Step 4: Simplify right side
    29.30x = 1,039.14
  5. Step 5: Solve for x
    x = 1,039.14/29.30
  6. Step 6: Final answer
    x = 35.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.