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Finding the Fourth Proportional to 122.16, 182.24 and 113.52

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Solution

The fourth proportional to 122.16, 182.24 and 113.52 is: 169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 182.24 = 113.52 : x
  2. Step 2: Convert to fraction form
    122.16/182.24 = 113.52/x
  3. Step 3: Cross multiply
    122.16x = 182.24 × 113.52
  4. Step 4: Simplify right side
    122.16x = 20,687.88
  5. Step 5: Solve for x
    x = 20,687.88/122.16
  6. Step 6: Final answer
    x = 169.35

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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.