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Finding the Fourth Proportional to 29.89, 41.23 and 19.52

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Solution

The fourth proportional to 29.89, 41.23 and 19.52 is: 26.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.89 : 41.23 = 19.52 : x
  2. Step 2: Convert to fraction form
    29.89/41.23 = 19.52/x
  3. Step 3: Cross multiply
    29.89x = 41.23 × 19.52
  4. Step 4: Simplify right side
    29.89x = 804.72
  5. Step 5: Solve for x
    x = 804.72/29.89
  6. Step 6: Final answer
    x = 26.92

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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.