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Finding the Fourth Proportional to 17.09, 23.61 and 14.53

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Solution

The fourth proportional to 17.09, 23.61 and 14.53 is: 20.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 23.61 = 14.53 : x
  2. Step 2: Convert to fraction form
    17.09/23.61 = 14.53/x
  3. Step 3: Cross multiply
    17.09x = 23.61 × 14.53
  4. Step 4: Simplify right side
    17.09x = 343.07
  5. Step 5: Solve for x
    x = 343.07/17.09
  6. Step 6: Final answer
    x = 20.07

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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.