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Finding the Fourth Proportional to 122.17, 182.95 and 70.70

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Solution

The fourth proportional to 122.17, 182.95 and 70.70 is: 105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.17 : 182.95 = 70.70 : x
  2. Step 2: Convert to fraction form
    122.17/182.95 = 70.70/x
  3. Step 3: Cross multiply
    122.17x = 182.95 × 70.70
  4. Step 4: Simplify right side
    122.17x = 12,934.57
  5. Step 5: Solve for x
    x = 12,934.57/122.17
  6. Step 6: Final answer
    x = 105.88

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