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Finding the Fourth Proportional to 122.35, 169.08 and 118.24

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Solution

The fourth proportional to 122.35, 169.08 and 118.24 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.35 : 169.08 = 118.24 : x
  2. Step 2: Convert to fraction form
    122.35/169.08 = 118.24/x
  3. Step 3: Cross multiply
    122.35x = 169.08 × 118.24
  4. Step 4: Simplify right side
    122.35x = 19,992.02
  5. Step 5: Solve for x
    x = 19,992.02/122.35
  6. Step 6: Final answer
    x = 163.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.