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Finding the Fourth Proportional to 11.56, 15.24 and 11.56

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Solution

The fourth proportional to 11.56, 15.24 and 11.56 is: 15.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.56 : 15.24 = 11.56 : x
  2. Step 2: Convert to fraction form
    11.56/15.24 = 11.56/x
  3. Step 3: Cross multiply
    11.56x = 15.24 × 11.56
  4. Step 4: Simplify right side
    11.56x = 176.17
  5. Step 5: Solve for x
    x = 176.17/11.56
  6. Step 6: Final answer
    x = 15.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.