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Finding the Fourth Proportional to 122.19, 182.95 and 70.79

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Solution

The fourth proportional to 122.19, 182.95 and 70.79 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.19 : 182.95 = 70.79 : x
  2. Step 2: Convert to fraction form
    122.19/182.95 = 70.79/x
  3. Step 3: Cross multiply
    122.19x = 182.95 × 70.79
  4. Step 4: Simplify right side
    122.19x = 12,951.03
  5. Step 5: Solve for x
    x = 12,951.03/122.19
  6. Step 6: Final answer
    x = 105.99

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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.