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Finding the Fourth Proportional to 132.10, 198.07 and 45.39

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Solution

The fourth proportional to 132.10, 198.07 and 45.39 is: 68.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 198.07 = 45.39 : x
  2. Step 2: Convert to fraction form
    132.10/198.07 = 45.39/x
  3. Step 3: Cross multiply
    132.10x = 198.07 × 45.39
  4. Step 4: Simplify right side
    132.10x = 8,989.29
  5. Step 5: Solve for x
    x = 8,989.29/132.10
  6. Step 6: Final answer
    x = 68.05

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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.