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Finding the Fourth Proportional to 27.99, 41.92 and 19.42

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Solution

The fourth proportional to 27.99, 41.92 and 19.42 is: 29.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.99 : 41.92 = 19.42 : x
  2. Step 2: Convert to fraction form
    27.99/41.92 = 19.42/x
  3. Step 3: Cross multiply
    27.99x = 41.92 × 19.42
  4. Step 4: Simplify right side
    27.99x = 813.93
  5. Step 5: Solve for x
    x = 813.93/27.99
  6. Step 6: Final answer
    x = 29.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.