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Finding the Fourth Proportional to 131.16, 196.22 and 113.32

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Solution

The fourth proportional to 131.16, 196.22 and 113.32 is: 169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 196.22 = 113.32 : x
  2. Step 2: Convert to fraction form
    131.16/196.22 = 113.32/x
  3. Step 3: Cross multiply
    131.16x = 196.22 × 113.32
  4. Step 4: Simplify right side
    131.16x = 22,235.65
  5. Step 5: Solve for x
    x = 22,235.65/131.16
  6. Step 6: Final answer
    x = 169.53

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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.