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Finding the Fourth Proportional to 131.03, 196.34 and 96.81

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Solution

The fourth proportional to 131.03, 196.34 and 96.81 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.03 : 196.34 = 96.81 : x
  2. Step 2: Convert to fraction form
    131.03/196.34 = 96.81/x
  3. Step 3: Cross multiply
    131.03x = 196.34 × 96.81
  4. Step 4: Simplify right side
    131.03x = 19,007.19
  5. Step 5: Solve for x
    x = 19,007.19/131.03
  6. Step 6: Final answer
    x = 145.07

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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.