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Finding the Fourth Proportional to 132.14, 197.16 and 109.46

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Solution

The fourth proportional to 132.14, 197.16 and 109.46 is: 163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.14 : 197.16 = 109.46 : x
  2. Step 2: Convert to fraction form
    132.14/197.16 = 109.46/x
  3. Step 3: Cross multiply
    132.14x = 197.16 × 109.46
  4. Step 4: Simplify right side
    132.14x = 21,580.15
  5. Step 5: Solve for x
    x = 21,580.15/132.14
  6. Step 6: Final answer
    x = 163.32

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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.