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Finding the Fourth Proportional to 131.70, 197.34 and 83.51

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Solution

The fourth proportional to 131.70, 197.34 and 83.51 is: 125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 197.34 = 83.51 : x
  2. Step 2: Convert to fraction form
    131.70/197.34 = 83.51/x
  3. Step 3: Cross multiply
    131.70x = 197.34 × 83.51
  4. Step 4: Simplify right side
    131.70x = 16,478.88
  5. Step 5: Solve for x
    x = 16,478.88/131.70
  6. Step 6: Final answer
    x = 125.12

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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.