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Finding the Fourth Proportional to 29.99, 41.42 and 23.09

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Solution

The fourth proportional to 29.99, 41.42 and 23.09 is: 31.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.99 : 41.42 = 23.09 : x
  2. Step 2: Convert to fraction form
    29.99/41.42 = 23.09/x
  3. Step 3: Cross multiply
    29.99x = 41.42 × 23.09
  4. Step 4: Simplify right side
    29.99x = 956.24
  5. Step 5: Solve for x
    x = 956.24/29.99
  6. Step 6: Final answer
    x = 31.88

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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.