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Finding the Fourth Proportional to 17.13, 23.64 and 10.66

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Solution

The fourth proportional to 17.13, 23.64 and 10.66 is: 14.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.13 : 23.64 = 10.66 : x
  2. Step 2: Convert to fraction form
    17.13/23.64 = 10.66/x
  3. Step 3: Cross multiply
    17.13x = 23.64 × 10.66
  4. Step 4: Simplify right side
    17.13x = 252.00
  5. Step 5: Solve for x
    x = 252.00/17.13
  6. Step 6: Final answer
    x = 14.71

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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.