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Finding the Fourth Proportional to 123.31, 168.94 and 118.70

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Solution

The fourth proportional to 123.31, 168.94 and 118.70 is: 162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.31 : 168.94 = 118.70 : x
  2. Step 2: Convert to fraction form
    123.31/168.94 = 118.70/x
  3. Step 3: Cross multiply
    123.31x = 168.94 × 118.70
  4. Step 4: Simplify right side
    123.31x = 20,053.18
  5. Step 5: Solve for x
    x = 20,053.18/123.31
  6. Step 6: Final answer
    x = 162.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.