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Finding the Fourth Proportional to 131.86, 196.50 and 128.14

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Solution

The fourth proportional to 131.86, 196.50 and 128.14 is: 190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.86 : 196.50 = 128.14 : x
  2. Step 2: Convert to fraction form
    131.86/196.50 = 128.14/x
  3. Step 3: Cross multiply
    131.86x = 196.50 × 128.14
  4. Step 4: Simplify right side
    131.86x = 25,179.51
  5. Step 5: Solve for x
    x = 25,179.51/131.86
  6. Step 6: Final answer
    x = 190.96

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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.