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Finding the Fourth Proportional to 144.85, 199.81 and 89.49

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Solution

The fourth proportional to 144.85, 199.81 and 89.49 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.85 : 199.81 = 89.49 : x
  2. Step 2: Convert to fraction form
    144.85/199.81 = 89.49/x
  3. Step 3: Cross multiply
    144.85x = 199.81 × 89.49
  4. Step 4: Simplify right side
    144.85x = 17,880.77
  5. Step 5: Solve for x
    x = 17,880.77/144.85
  6. Step 6: Final answer
    x = 123.45

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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.