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Finding the Fourth Proportional to 130.96, 196.16 and 65.86

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Solution

The fourth proportional to 130.96, 196.16 and 65.86 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.96 : 196.16 = 65.86 : x
  2. Step 2: Convert to fraction form
    130.96/196.16 = 65.86/x
  3. Step 3: Cross multiply
    130.96x = 196.16 × 65.86
  4. Step 4: Simplify right side
    130.96x = 12,919.10
  5. Step 5: Solve for x
    x = 12,919.10/130.96
  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.