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Finding the Fourth Proportional to 132.06, 197.64 and 112.80

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Solution

The fourth proportional to 132.06, 197.64 and 112.80 is: 168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.06 : 197.64 = 112.80 : x
  2. Step 2: Convert to fraction form
    132.06/197.64 = 112.80/x
  3. Step 3: Cross multiply
    132.06x = 197.64 × 112.80
  4. Step 4: Simplify right side
    132.06x = 22,293.79
  5. Step 5: Solve for x
    x = 22,293.79/132.06
  6. Step 6: Final answer
    x = 168.82

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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.