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Finding the Fourth Proportional to 19.10, 28.54 and 16.49

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Solution

The fourth proportional to 19.10, 28.54 and 16.49 is: 24.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.10 : 28.54 = 16.49 : x
  2. Step 2: Convert to fraction form
    19.10/28.54 = 16.49/x
  3. Step 3: Cross multiply
    19.10x = 28.54 × 16.49
  4. Step 4: Simplify right side
    19.10x = 470.62
  5. Step 5: Solve for x
    x = 470.62/19.10
  6. Step 6: Final answer
    x = 24.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.