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Finding the Fourth Proportional to 144.70, 215.92 and 129.31

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Solution

The fourth proportional to 144.70, 215.92 and 129.31 is: 192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.70 : 215.92 = 129.31 : x
  2. Step 2: Convert to fraction form
    144.70/215.92 = 129.31/x
  3. Step 3: Cross multiply
    144.70x = 215.92 × 129.31
  4. Step 4: Simplify right side
    144.70x = 27,920.62
  5. Step 5: Solve for x
    x = 27,920.62/144.70
  6. Step 6: Final answer
    x = 192.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.