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Finding the Fourth Proportional to 132.22, 198.23 and 78.05

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Solution

The fourth proportional to 132.22, 198.23 and 78.05 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.22 : 198.23 = 78.05 : x
  2. Step 2: Convert to fraction form
    132.22/198.23 = 78.05/x
  3. Step 3: Cross multiply
    132.22x = 198.23 × 78.05
  4. Step 4: Simplify right side
    132.22x = 15,471.96
  5. Step 5: Solve for x
    x = 15,471.96/132.22
  6. Step 6: Final answer
    x = 117.02

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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.