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Finding the Fourth Proportional to 132.49, 199.55 and 113.37

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Solution

The fourth proportional to 132.49, 199.55 and 113.37 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.49 : 199.55 = 113.37 : x
  2. Step 2: Convert to fraction form
    132.49/199.55 = 113.37/x
  3. Step 3: Cross multiply
    132.49x = 199.55 × 113.37
  4. Step 4: Simplify right side
    132.49x = 22,622.98
  5. Step 5: Solve for x
    x = 22,622.98/132.49
  6. Step 6: Final answer
    x = 170.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.