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Finding the Fourth Proportional to 144.96, 200.16 and 95.96

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Solution

The fourth proportional to 144.96, 200.16 and 95.96 is: 132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 200.16 = 95.96 : x
  2. Step 2: Convert to fraction form
    144.96/200.16 = 95.96/x
  3. Step 3: Cross multiply
    144.96x = 200.16 × 95.96
  4. Step 4: Simplify right side
    144.96x = 19,207.35
  5. Step 5: Solve for x
    x = 19,207.35/144.96
  6. Step 6: Final answer
    x = 132.50

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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.