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Finding the Fourth Proportional to 16.25, 22.43 and 10.50

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Solution

The fourth proportional to 16.25, 22.43 and 10.50 is: 14.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.25 : 22.43 = 10.50 : x
  2. Step 2: Convert to fraction form
    16.25/22.43 = 10.50/x
  3. Step 3: Cross multiply
    16.25x = 22.43 × 10.50
  4. Step 4: Simplify right side
    16.25x = 235.52
  5. Step 5: Solve for x
    x = 235.52/16.25
  6. Step 6: Final answer
    x = 14.49

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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.