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Finding the Fourth Proportional to 131.61, 196.57 and 112.26

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Solution

The fourth proportional to 131.61, 196.57 and 112.26 is: 167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.61 : 196.57 = 112.26 : x
  2. Step 2: Convert to fraction form
    131.61/196.57 = 112.26/x
  3. Step 3: Cross multiply
    131.61x = 196.57 × 112.26
  4. Step 4: Simplify right side
    131.61x = 22,066.67
  5. Step 5: Solve for x
    x = 22,066.67/131.61
  6. Step 6: Final answer
    x = 167.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.