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Finding the Fourth Proportional to 122.04, 182.86 and 70.67

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Solution

The fourth proportional to 122.04, 182.86 and 70.67 is: 105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.04 : 182.86 = 70.67 : x
  2. Step 2: Convert to fraction form
    122.04/182.86 = 70.67/x
  3. Step 3: Cross multiply
    122.04x = 182.86 × 70.67
  4. Step 4: Simplify right side
    122.04x = 12,923.00
  5. Step 5: Solve for x
    x = 12,923.00/122.04
  6. Step 6: Final answer
    x = 105.89

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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.