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Finding the Fourth Proportional to 130.82, 195.84 and 85.07

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Solution

The fourth proportional to 130.82, 195.84 and 85.07 is: 127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 195.84 = 85.07 : x
  2. Step 2: Convert to fraction form
    130.82/195.84 = 85.07/x
  3. Step 3: Cross multiply
    130.82x = 195.84 × 85.07
  4. Step 4: Simplify right side
    130.82x = 16,659.13
  5. Step 5: Solve for x
    x = 16,659.13/130.82
  6. Step 6: Final answer
    x = 127.35

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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.