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Finding the Fourth Proportional to 131.79, 197.82 and 85.98

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Solution

The fourth proportional to 131.79, 197.82 and 85.98 is: 129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.79 : 197.82 = 85.98 : x
  2. Step 2: Convert to fraction form
    131.79/197.82 = 85.98/x
  3. Step 3: Cross multiply
    131.79x = 197.82 × 85.98
  4. Step 4: Simplify right side
    131.79x = 17,008.56
  5. Step 5: Solve for x
    x = 17,008.56/131.79
  6. Step 6: Final answer
    x = 129.06

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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.