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Finding the Fourth Proportional to 132.01, 197.09 and 106.23

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Solution

The fourth proportional to 132.01, 197.09 and 106.23 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.01 : 197.09 = 106.23 : x
  2. Step 2: Convert to fraction form
    132.01/197.09 = 106.23/x
  3. Step 3: Cross multiply
    132.01x = 197.09 × 106.23
  4. Step 4: Simplify right side
    132.01x = 20,936.87
  5. Step 5: Solve for x
    x = 20,936.87/132.01
  6. Step 6: Final answer
    x = 158.60

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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.