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Finding the Fourth Proportional to 144.12, 198.84 and 91.70

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Solution

The fourth proportional to 144.12, 198.84 and 91.70 is: 126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 198.84 = 91.70 : x
  2. Step 2: Convert to fraction form
    144.12/198.84 = 91.70/x
  3. Step 3: Cross multiply
    144.12x = 198.84 × 91.70
  4. Step 4: Simplify right side
    144.12x = 18,233.63
  5. Step 5: Solve for x
    x = 18,233.63/144.12
  6. Step 6: Final answer
    x = 126.52

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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.