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Finding the Fourth Proportional to 29.83, 41.17 and 16.89

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Solution

The fourth proportional to 29.83, 41.17 and 16.89 is: 23.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.83 : 41.17 = 16.89 : x
  2. Step 2: Convert to fraction form
    29.83/41.17 = 16.89/x
  3. Step 3: Cross multiply
    29.83x = 41.17 × 16.89
  4. Step 4: Simplify right side
    29.83x = 695.28
  5. Step 5: Solve for x
    x = 695.28/29.83
  6. Step 6: Final answer
    x = 23.31

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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.