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Finding the Fourth Proportional to 144.30, 199.14 and 89.02

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Solution

The fourth proportional to 144.30, 199.14 and 89.02 is: 122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.30 : 199.14 = 89.02 : x
  2. Step 2: Convert to fraction form
    144.30/199.14 = 89.02/x
  3. Step 3: Cross multiply
    144.30x = 199.14 × 89.02
  4. Step 4: Simplify right side
    144.30x = 17,726.74
  5. Step 5: Solve for x
    x = 17,726.74/144.30
  6. Step 6: Final answer
    x = 122.85

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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.