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Finding the Fourth Proportional to 130.31, 195.41 and 65.25

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Solution

The fourth proportional to 130.31, 195.41 and 65.25 is: 97.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 195.41 = 65.25 : x
  2. Step 2: Convert to fraction form
    130.31/195.41 = 65.25/x
  3. Step 3: Cross multiply
    130.31x = 195.41 × 65.25
  4. Step 4: Simplify right side
    130.31x = 12,750.18
  5. Step 5: Solve for x
    x = 12,750.18/130.31
  6. Step 6: Final answer
    x = 97.85

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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.