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Finding the Fourth Proportional to 17.62, 24.14 and 17.46

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Solution

The fourth proportional to 17.62, 24.14 and 17.46 is: 23.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.62 : 24.14 = 17.46 : x
  2. Step 2: Convert to fraction form
    17.62/24.14 = 17.46/x
  3. Step 3: Cross multiply
    17.62x = 24.14 × 17.46
  4. Step 4: Simplify right side
    17.62x = 421.48
  5. Step 5: Solve for x
    x = 421.48/17.62
  6. Step 6: Final answer
    x = 23.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.