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Finding the Fourth Proportional to 132.13, 197.27 and 120.58

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Solution

The fourth proportional to 132.13, 197.27 and 120.58 is: 180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.13 : 197.27 = 120.58 : x
  2. Step 2: Convert to fraction form
    132.13/197.27 = 120.58/x
  3. Step 3: Cross multiply
    132.13x = 197.27 × 120.58
  4. Step 4: Simplify right side
    132.13x = 23,786.82
  5. Step 5: Solve for x
    x = 23,786.82/132.13
  6. Step 6: Final answer
    x = 180.03

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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.