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Finding the Fourth Proportional to 132.45, 197.72 and 116.25

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Solution

The fourth proportional to 132.45, 197.72 and 116.25 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.45 : 197.72 = 116.25 : x
  2. Step 2: Convert to fraction form
    132.45/197.72 = 116.25/x
  3. Step 3: Cross multiply
    132.45x = 197.72 × 116.25
  4. Step 4: Simplify right side
    132.45x = 22,984.37
  5. Step 5: Solve for x
    x = 22,984.37/132.45
  6. Step 6: Final answer
    x = 173.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.