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Finding the Fourth Proportional to 122.37, 182.87 and 99.28

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Solution

The fourth proportional to 122.37, 182.87 and 99.28 is: 148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.37 : 182.87 = 99.28 : x
  2. Step 2: Convert to fraction form
    122.37/182.87 = 99.28/x
  3. Step 3: Cross multiply
    122.37x = 182.87 × 99.28
  4. Step 4: Simplify right side
    122.37x = 18,155.33
  5. Step 5: Solve for x
    x = 18,155.33/122.37
  6. Step 6: Final answer
    x = 148.36

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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.