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Finding the Fourth Proportional to 131.76, 196.32 and 120.96

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Solution

The fourth proportional to 131.76, 196.32 and 120.96 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 196.32 = 120.96 : x
  2. Step 2: Convert to fraction form
    131.76/196.32 = 120.96/x
  3. Step 3: Cross multiply
    131.76x = 196.32 × 120.96
  4. Step 4: Simplify right side
    131.76x = 23,746.87
  5. Step 5: Solve for x
    x = 23,746.87/131.76
  6. Step 6: Final answer
    x = 180.23

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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.