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Finding the Fourth Proportional to 144.73, 199.58 and 89.45

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Solution

The fourth proportional to 144.73, 199.58 and 89.45 is: 123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.73 : 199.58 = 89.45 : x
  2. Step 2: Convert to fraction form
    144.73/199.58 = 89.45/x
  3. Step 3: Cross multiply
    144.73x = 199.58 × 89.45
  4. Step 4: Simplify right side
    144.73x = 17,852.71
  5. Step 5: Solve for x
    x = 17,852.71/144.73
  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.