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Finding the Fourth Proportional to 130.64, 195.87 and 81.95

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Solution

The fourth proportional to 130.64, 195.87 and 81.95 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 195.87 = 81.95 : x
  2. Step 2: Convert to fraction form
    130.64/195.87 = 81.95/x
  3. Step 3: Cross multiply
    130.64x = 195.87 × 81.95
  4. Step 4: Simplify right side
    130.64x = 16,050.57
  5. Step 5: Solve for x
    x = 16,050.57/130.64
  6. Step 6: Final answer
    x = 122.87

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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.