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Finding the Fourth Proportional to 16.43, 24.75 and 14.82

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Solution

The fourth proportional to 16.43, 24.75 and 14.82 is: 22.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.43 : 24.75 = 14.82 : x
  2. Step 2: Convert to fraction form
    16.43/24.75 = 14.82/x
  3. Step 3: Cross multiply
    16.43x = 24.75 × 14.82
  4. Step 4: Simplify right side
    16.43x = 366.89
  5. Step 5: Solve for x
    x = 366.89/16.43
  6. Step 6: Final answer
    x = 22.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.