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Finding the Fourth Proportional to 131.96, 196.94 and 123.32

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Solution

The fourth proportional to 131.96, 196.94 and 123.32 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.96 : 196.94 = 123.32 : x
  2. Step 2: Convert to fraction form
    131.96/196.94 = 123.32/x
  3. Step 3: Cross multiply
    131.96x = 196.94 × 123.32
  4. Step 4: Simplify right side
    131.96x = 24,286.64
  5. Step 5: Solve for x
    x = 24,286.64/131.96
  6. Step 6: Final answer
    x = 184.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.