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Finding the Fourth Proportional to 122.84, 170.30 and 116.60

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Solution

The fourth proportional to 122.84, 170.30 and 116.60 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 170.30 = 116.60 : x
  2. Step 2: Convert to fraction form
    122.84/170.30 = 116.60/x
  3. Step 3: Cross multiply
    122.84x = 170.30 × 116.60
  4. Step 4: Simplify right side
    122.84x = 19,856.42
  5. Step 5: Solve for x
    x = 19,856.42/122.84
  6. Step 6: Final answer
    x = 161.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.