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Finding the Fourth Proportional to 19.43, 29.07 and 16.04

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Solution

The fourth proportional to 19.43, 29.07 and 16.04 is: 24.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.43 : 29.07 = 16.04 : x
  2. Step 2: Convert to fraction form
    19.43/29.07 = 16.04/x
  3. Step 3: Cross multiply
    19.43x = 29.07 × 16.04
  4. Step 4: Simplify right side
    19.43x = 466.14
  5. Step 5: Solve for x
    x = 466.14/19.43
  6. Step 6: Final answer
    x = 24.00

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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.