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Finding the Fourth Proportional to 132.10, 197.94 and 71.05

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Solution

The fourth proportional to 132.10, 197.94 and 71.05 is: 106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 197.94 = 71.05 : x
  2. Step 2: Convert to fraction form
    132.10/197.94 = 71.05/x
  3. Step 3: Cross multiply
    132.10x = 197.94 × 71.05
  4. Step 4: Simplify right side
    132.10x = 14,063.64
  5. Step 5: Solve for x
    x = 14,063.64/132.10
  6. Step 6: Final answer
    x = 106.46

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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.