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Finding the Fourth Proportional to 122.96, 184.16 and 106.50

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Solution

The fourth proportional to 122.96, 184.16 and 106.50 is: 159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.96 : 184.16 = 106.50 : x
  2. Step 2: Convert to fraction form
    122.96/184.16 = 106.50/x
  3. Step 3: Cross multiply
    122.96x = 184.16 × 106.50
  4. Step 4: Simplify right side
    122.96x = 19,613.04
  5. Step 5: Solve for x
    x = 19,613.04/122.96
  6. Step 6: Final answer
    x = 159.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.