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Finding the Fourth Proportional to 144.14, 199.04 and 95.12

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Solution

The fourth proportional to 144.14, 199.04 and 95.12 is: 131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 199.04 = 95.12 : x
  2. Step 2: Convert to fraction form
    144.14/199.04 = 95.12/x
  3. Step 3: Cross multiply
    144.14x = 199.04 × 95.12
  4. Step 4: Simplify right side
    144.14x = 18,931.21
  5. Step 5: Solve for x
    x = 18,931.21/144.14
  6. Step 6: Final answer
    x = 131.34

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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.