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Finding the Fourth Proportional to 122.32, 182.53 and 115.48

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Solution

The fourth proportional to 122.32, 182.53 and 115.48 is: 172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.32 : 182.53 = 115.48 : x
  2. Step 2: Convert to fraction form
    122.32/182.53 = 115.48/x
  3. Step 3: Cross multiply
    122.32x = 182.53 × 115.48
  4. Step 4: Simplify right side
    122.32x = 21,078.56
  5. Step 5: Solve for x
    x = 21,078.56/122.32
  6. Step 6: Final answer
    x = 172.32

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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.