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Finding the Fourth Proportional to 131.57, 197.35 and 77.43

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Solution

The fourth proportional to 131.57, 197.35 and 77.43 is: 116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.57 : 197.35 = 77.43 : x
  2. Step 2: Convert to fraction form
    131.57/197.35 = 77.43/x
  3. Step 3: Cross multiply
    131.57x = 197.35 × 77.43
  4. Step 4: Simplify right side
    131.57x = 15,280.62
  5. Step 5: Solve for x
    x = 15,280.62/131.57
  6. Step 6: Final answer
    x = 116.15

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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.