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Finding the Fourth Proportional to 132.10, 197.88 and 107.80

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Solution

The fourth proportional to 132.10, 197.88 and 107.80 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 197.88 = 107.80 : x
  2. Step 2: Convert to fraction form
    132.10/197.88 = 107.80/x
  3. Step 3: Cross multiply
    132.10x = 197.88 × 107.80
  4. Step 4: Simplify right side
    132.10x = 21,331.46
  5. Step 5: Solve for x
    x = 21,331.46/132.10
  6. Step 6: Final answer
    x = 161.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.