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Finding the Fourth Proportional to 11.46, 17.20 and 10.34

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Solution

The fourth proportional to 11.46, 17.20 and 10.34 is: 15.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.46 : 17.20 = 10.34 : x
  2. Step 2: Convert to fraction form
    11.46/17.20 = 10.34/x
  3. Step 3: Cross multiply
    11.46x = 17.20 × 10.34
  4. Step 4: Simplify right side
    11.46x = 177.85
  5. Step 5: Solve for x
    x = 177.85/11.46
  6. Step 6: Final answer
    x = 15.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.