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Finding the Fourth Proportional to 11.53, 17.31 and 10.77

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Solution

The fourth proportional to 11.53, 17.31 and 10.77 is: 16.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.53 : 17.31 = 10.77 : x
  2. Step 2: Convert to fraction form
    11.53/17.31 = 10.77/x
  3. Step 3: Cross multiply
    11.53x = 17.31 × 10.77
  4. Step 4: Simplify right side
    11.53x = 186.43
  5. Step 5: Solve for x
    x = 186.43/11.53
  6. Step 6: Final answer
    x = 16.17

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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.