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Finding the Fourth Proportional to 11.56, 15.74 and 11.52

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Solution

The fourth proportional to 11.56, 15.74 and 11.52 is: 15.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.56 : 15.74 = 11.52 : x
  2. Step 2: Convert to fraction form
    11.56/15.74 = 11.52/x
  3. Step 3: Cross multiply
    11.56x = 15.74 × 11.52
  4. Step 4: Simplify right side
    11.56x = 181.35
  5. Step 5: Solve for x
    x = 181.35/11.56
  6. Step 6: Final answer
    x = 15.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.