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Finding the Fourth Proportional to 132.57, 198.85 and 78.43

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Solution

The fourth proportional to 132.57, 198.85 and 78.43 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.57 : 198.85 = 78.43 : x
  2. Step 2: Convert to fraction form
    132.57/198.85 = 78.43/x
  3. Step 3: Cross multiply
    132.57x = 198.85 × 78.43
  4. Step 4: Simplify right side
    132.57x = 15,595.81
  5. Step 5: Solve for x
    x = 15,595.81/132.57
  6. Step 6: Final answer
    x = 117.64

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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.