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Finding the Fourth Proportional to 122.02, 182.67 and 79.18

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Solution

The fourth proportional to 122.02, 182.67 and 79.18 is: 118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 182.67 = 79.18 : x
  2. Step 2: Convert to fraction form
    122.02/182.67 = 79.18/x
  3. Step 3: Cross multiply
    122.02x = 182.67 × 79.18
  4. Step 4: Simplify right side
    122.02x = 14,463.81
  5. Step 5: Solve for x
    x = 14,463.81/122.02
  6. Step 6: Final answer
    x = 118.54

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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.