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Finding the Fourth Proportional to 131.16, 197.04 and 126.42

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Solution

The fourth proportional to 131.16, 197.04 and 126.42 is: 189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 197.04 = 126.42 : x
  2. Step 2: Convert to fraction form
    131.16/197.04 = 126.42/x
  3. Step 3: Cross multiply
    131.16x = 197.04 × 126.42
  4. Step 4: Simplify right side
    131.16x = 24,909.80
  5. Step 5: Solve for x
    x = 24,909.80/131.16
  6. Step 6: Final answer
    x = 189.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.