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Finding the Fourth Proportional to 17.05, 23.52 and 11.60

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Solution

The fourth proportional to 17.05, 23.52 and 11.60 is: 16.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.05 : 23.52 = 11.60 : x
  2. Step 2: Convert to fraction form
    17.05/23.52 = 11.60/x
  3. Step 3: Cross multiply
    17.05x = 23.52 × 11.60
  4. Step 4: Simplify right side
    17.05x = 272.89
  5. Step 5: Solve for x
    x = 272.89/17.05
  6. Step 6: Final answer
    x = 16.00

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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.