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Finding the Fourth Proportional to 132.29, 197.95 and 115.23

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Solution

The fourth proportional to 132.29, 197.95 and 115.23 is: 172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.29 : 197.95 = 115.23 : x
  2. Step 2: Convert to fraction form
    132.29/197.95 = 115.23/x
  3. Step 3: Cross multiply
    132.29x = 197.95 × 115.23
  4. Step 4: Simplify right side
    132.29x = 22,809.78
  5. Step 5: Solve for x
    x = 22,809.78/132.29
  6. Step 6: Final answer
    x = 172.42

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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.