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Finding the Fourth Proportional to 131.54, 196.76 and 112.46

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Solution

The fourth proportional to 131.54, 196.76 and 112.46 is: 168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.54 : 196.76 = 112.46 : x
  2. Step 2: Convert to fraction form
    131.54/196.76 = 112.46/x
  3. Step 3: Cross multiply
    131.54x = 196.76 × 112.46
  4. Step 4: Simplify right side
    131.54x = 22,127.63
  5. Step 5: Solve for x
    x = 22,127.63/131.54
  6. Step 6: Final answer
    x = 168.22

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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.