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Finding the Fourth Proportional to 113.06, 169.59 and 27.56

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Solution

The fourth proportional to 113.06, 169.59 and 27.56 is: 41.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 169.59 = 27.56 : x
  2. Step 2: Convert to fraction form
    113.06/169.59 = 27.56/x
  3. Step 3: Cross multiply
    113.06x = 169.59 × 27.56
  4. Step 4: Simplify right side
    113.06x = 4,674.43
  5. Step 5: Solve for x
    x = 4,674.43/113.06
  6. Step 6: Final answer
    x = 41.34

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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.