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Finding the Fourth Proportional to 122.33, 182.33 and 115.50

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Solution

The fourth proportional to 122.33, 182.33 and 115.50 is: 172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.33 : 182.33 = 115.50 : x
  2. Step 2: Convert to fraction form
    122.33/182.33 = 115.50/x
  3. Step 3: Cross multiply
    122.33x = 182.33 × 115.50
  4. Step 4: Simplify right side
    122.33x = 21,058.20
  5. Step 5: Solve for x
    x = 21,058.20/122.33
  6. Step 6: Final answer
    x = 172.14

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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.