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Finding the Fourth Proportional to 131.38, 197.23 and 77.31

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Solution

The fourth proportional to 131.38, 197.23 and 77.31 is: 116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.38 : 197.23 = 77.31 : x
  2. Step 2: Convert to fraction form
    131.38/197.23 = 77.31/x
  3. Step 3: Cross multiply
    131.38x = 197.23 × 77.31
  4. Step 4: Simplify right side
    131.38x = 15,248.15
  5. Step 5: Solve for x
    x = 15,248.15/131.38
  6. Step 6: Final answer
    x = 116.06

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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.