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Finding the Fourth Proportional to 19.54, 29.33 and 16.23

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Solution

The fourth proportional to 19.54, 29.33 and 16.23 is: 24.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.54 : 29.33 = 16.23 : x
  2. Step 2: Convert to fraction form
    19.54/29.33 = 16.23/x
  3. Step 3: Cross multiply
    19.54x = 29.33 × 16.23
  4. Step 4: Simplify right side
    19.54x = 476.12
  5. Step 5: Solve for x
    x = 476.12/19.54
  6. Step 6: Final answer
    x = 24.36

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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.