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Finding the Fourth Proportional to 132.42, 197.69 and 122.91

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Solution

The fourth proportional to 132.42, 197.69 and 122.91 is: 183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 197.69 = 122.91 : x
  2. Step 2: Convert to fraction form
    132.42/197.69 = 122.91/x
  3. Step 3: Cross multiply
    132.42x = 197.69 × 122.91
  4. Step 4: Simplify right side
    132.42x = 24,298.08
  5. Step 5: Solve for x
    x = 24,298.08/132.42
  6. Step 6: Final answer
    x = 183.49

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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.