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Finding the Fourth Proportional to 131.06, 196.25 and 96.77

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Solution

The fourth proportional to 131.06, 196.25 and 96.77 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.06 : 196.25 = 96.77 : x
  2. Step 2: Convert to fraction form
    131.06/196.25 = 96.77/x
  3. Step 3: Cross multiply
    131.06x = 196.25 × 96.77
  4. Step 4: Simplify right side
    131.06x = 18,991.11
  5. Step 5: Solve for x
    x = 18,991.11/131.06
  6. Step 6: Final answer
    x = 144.90

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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.