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Finding the Fourth Proportional to 29.72, 41 and 19.34

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Solution

The fourth proportional to 29.72, 41 and 19.34 is: 26.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.72 : 41 = 19.34 : x
  2. Step 2: Convert to fraction form
    29.72/41 = 19.34/x
  3. Step 3: Cross multiply
    29.72x = 41 × 19.34
  4. Step 4: Simplify right side
    29.72x = 792.94
  5. Step 5: Solve for x
    x = 792.94/29.72
  6. Step 6: Final answer
    x = 26.68

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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.