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Finding the Fourth Proportional to 130.69, 196.09 and 65.75

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Solution

The fourth proportional to 130.69, 196.09 and 65.75 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.69 : 196.09 = 65.75 : x
  2. Step 2: Convert to fraction form
    130.69/196.09 = 65.75/x
  3. Step 3: Cross multiply
    130.69x = 196.09 × 65.75
  4. Step 4: Simplify right side
    130.69x = 12,892.92
  5. Step 5: Solve for x
    x = 12,892.92/130.69
  6. Step 6: Final answer
    x = 98.65

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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.