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Finding the Fourth Proportional to 17.46, 24.12 and 13.82

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Solution

The fourth proportional to 17.46, 24.12 and 13.82 is: 19.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.46 : 24.12 = 13.82 : x
  2. Step 2: Convert to fraction form
    17.46/24.12 = 13.82/x
  3. Step 3: Cross multiply
    17.46x = 24.12 × 13.82
  4. Step 4: Simplify right side
    17.46x = 333.22
  5. Step 5: Solve for x
    x = 333.22/17.46
  6. Step 6: Final answer
    x = 19.08

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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.