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Finding the Fourth Proportional to 17.46, 24.10 and 11.64

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Solution

The fourth proportional to 17.46, 24.10 and 11.64 is: 16.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.46 : 24.10 = 11.64 : x
  2. Step 2: Convert to fraction form
    17.46/24.10 = 11.64/x
  3. Step 3: Cross multiply
    17.46x = 24.10 × 11.64
  4. Step 4: Simplify right side
    17.46x = 280.47
  5. Step 5: Solve for x
    x = 280.47/17.46
  6. Step 6: Final answer
    x = 16.07

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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.