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Finding the Fourth Proportional to 132.09, 197.06 and 118.41

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Solution

The fourth proportional to 132.09, 197.06 and 118.41 is: 176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.09 : 197.06 = 118.41 : x
  2. Step 2: Convert to fraction form
    132.09/197.06 = 118.41/x
  3. Step 3: Cross multiply
    132.09x = 197.06 × 118.41
  4. Step 4: Simplify right side
    132.09x = 23,333.87
  5. Step 5: Solve for x
    x = 23,333.87/132.09
  6. Step 6: Final answer
    x = 176.65

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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.