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Finding the Fourth Proportional to 119.22, 178.70 and 82.19

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Solution

The fourth proportional to 119.22, 178.70 and 82.19 is: 123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.22 : 178.70 = 82.19 : x
  2. Step 2: Convert to fraction form
    119.22/178.70 = 82.19/x
  3. Step 3: Cross multiply
    119.22x = 178.70 × 82.19
  4. Step 4: Simplify right side
    119.22x = 14,686.05
  5. Step 5: Solve for x
    x = 14,686.05/119.22
  6. Step 6: Final answer
    x = 123.18

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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.