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Finding the Fourth Proportional to 27.06, 40.57 and 11.61

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Solution

The fourth proportional to 27.06, 40.57 and 11.61 is: 17.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.06 : 40.57 = 11.61 : x
  2. Step 2: Convert to fraction form
    27.06/40.57 = 11.61/x
  3. Step 3: Cross multiply
    27.06x = 40.57 × 11.61
  4. Step 4: Simplify right side
    27.06x = 471.18
  5. Step 5: Solve for x
    x = 471.18/27.06
  6. Step 6: Final answer
    x = 17.41

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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.