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Finding the Fourth Proportional to 144.70, 199.63 and 89.42

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Solution

The fourth proportional to 144.70, 199.63 and 89.42 is: 123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.70 : 199.63 = 89.42 : x
  2. Step 2: Convert to fraction form
    144.70/199.63 = 89.42/x
  3. Step 3: Cross multiply
    144.70x = 199.63 × 89.42
  4. Step 4: Simplify right side
    144.70x = 17,850.91
  5. Step 5: Solve for x
    x = 17,850.91/144.70
  6. Step 6: Final answer
    x = 123.36

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Why These Related Problems?

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