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Finding the Fourth Proportional to 17.07, 25.55 and 11.71

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Solution

The fourth proportional to 17.07, 25.55 and 11.71 is: 17.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.07 : 25.55 = 11.71 : x
  2. Step 2: Convert to fraction form
    17.07/25.55 = 11.71/x
  3. Step 3: Cross multiply
    17.07x = 25.55 × 11.71
  4. Step 4: Simplify right side
    17.07x = 299.19
  5. Step 5: Solve for x
    x = 299.19/17.07
  6. Step 6: Final answer
    x = 17.53

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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.