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Finding the Fourth Proportional to 131.88, 181.83 and 96.96

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Solution

The fourth proportional to 131.88, 181.83 and 96.96 is: 133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.88 : 181.83 = 96.96 : x
  2. Step 2: Convert to fraction form
    131.88/181.83 = 96.96/x
  3. Step 3: Cross multiply
    131.88x = 181.83 × 96.96
  4. Step 4: Simplify right side
    131.88x = 17,630.24
  5. Step 5: Solve for x
    x = 17,630.24/131.88
  6. Step 6: Final answer
    x = 133.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.