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Finding the Fourth Proportional to 122.15, 182.39 and 99.37

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Solution

The fourth proportional to 122.15, 182.39 and 99.37 is: 148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.15 : 182.39 = 99.37 : x
  2. Step 2: Convert to fraction form
    122.15/182.39 = 99.37/x
  3. Step 3: Cross multiply
    122.15x = 182.39 × 99.37
  4. Step 4: Simplify right side
    122.15x = 18,123.85
  5. Step 5: Solve for x
    x = 18,123.85/122.15
  6. Step 6: Final answer
    x = 148.37

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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.