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Finding the Fourth Proportional to 131.22, 196.02 and 124.34

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Solution

The fourth proportional to 131.22, 196.02 and 124.34 is: 185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.22 : 196.02 = 124.34 : x
  2. Step 2: Convert to fraction form
    131.22/196.02 = 124.34/x
  3. Step 3: Cross multiply
    131.22x = 196.02 × 124.34
  4. Step 4: Simplify right side
    131.22x = 24,372.15
  5. Step 5: Solve for x
    x = 24,372.15/131.22
  6. Step 6: Final answer
    x = 185.74

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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.