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Finding the Fourth Proportional to 11.63, 17.32 and 11.57

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Solution

The fourth proportional to 11.63, 17.32 and 11.57 is: 17.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.63 : 17.32 = 11.57 : x
  2. Step 2: Convert to fraction form
    11.63/17.32 = 11.57/x
  3. Step 3: Cross multiply
    11.63x = 17.32 × 11.57
  4. Step 4: Simplify right side
    11.63x = 200.39
  5. Step 5: Solve for x
    x = 200.39/11.63
  6. Step 6: Final answer
    x = 17.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.