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Finding the Fourth Proportional to 11.46, 15.71 and 10.56

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Solution

The fourth proportional to 11.46, 15.71 and 10.56 is: 14.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.46 : 15.71 = 10.56 : x
  2. Step 2: Convert to fraction form
    11.46/15.71 = 10.56/x
  3. Step 3: Cross multiply
    11.46x = 15.71 × 10.56
  4. Step 4: Simplify right side
    11.46x = 165.90
  5. Step 5: Solve for x
    x = 165.90/11.46
  6. Step 6: Final answer
    x = 14.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.