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Finding the Fourth Proportional to 144.57, 199.05 and 123.62

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Solution

The fourth proportional to 144.57, 199.05 and 123.62 is: 170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 199.05 = 123.62 : x
  2. Step 2: Convert to fraction form
    144.57/199.05 = 123.62/x
  3. Step 3: Cross multiply
    144.57x = 199.05 × 123.62
  4. Step 4: Simplify right side
    144.57x = 24,605.57
  5. Step 5: Solve for x
    x = 24,605.57/144.57
  6. Step 6: Final answer
    x = 170.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.