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Finding the Fourth Proportional to 131.23, 196.48 and 123.11

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Solution

The fourth proportional to 131.23, 196.48 and 123.11 is: 184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.23 : 196.48 = 123.11 : x
  2. Step 2: Convert to fraction form
    131.23/196.48 = 123.11/x
  3. Step 3: Cross multiply
    131.23x = 196.48 × 123.11
  4. Step 4: Simplify right side
    131.23x = 24,188.56
  5. Step 5: Solve for x
    x = 24,188.56/131.23
  6. Step 6: Final answer
    x = 184.33

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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.