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Finding the Fourth Proportional to 29.49, 40.69 and 17.84

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Solution

The fourth proportional to 29.49, 40.69 and 17.84 is: 24.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.49 : 40.69 = 17.84 : x
  2. Step 2: Convert to fraction form
    29.49/40.69 = 17.84/x
  3. Step 3: Cross multiply
    29.49x = 40.69 × 17.84
  4. Step 4: Simplify right side
    29.49x = 725.91
  5. Step 5: Solve for x
    x = 725.91/29.49
  6. Step 6: Final answer
    x = 24.62

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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.