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Finding the Fourth Proportional to 132, 197.16 and 111.48

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Solution

The fourth proportional to 132, 197.16 and 111.48 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 197.16 = 111.48 : x
  2. Step 2: Convert to fraction form
    132/197.16 = 111.48/x
  3. Step 3: Cross multiply
    132x = 197.16 × 111.48
  4. Step 4: Simplify right side
    132x = 21,979.40
  5. Step 5: Solve for x
    x = 21,979.40/132
  6. Step 6: Final answer
    x = 166.51

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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.