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Finding the Fourth Proportional to 122.05, 182.95 and 61.15

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Solution

The fourth proportional to 122.05, 182.95 and 61.15 is: 91.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.05 : 182.95 = 61.15 : x
  2. Step 2: Convert to fraction form
    122.05/182.95 = 61.15/x
  3. Step 3: Cross multiply
    122.05x = 182.95 × 61.15
  4. Step 4: Simplify right side
    122.05x = 11,187.39
  5. Step 5: Solve for x
    x = 11,187.39/122.05
  6. Step 6: Final answer
    x = 91.66

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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.