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Finding the Fourth Proportional to 130.12, 195.17 and 48.95

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Solution

The fourth proportional to 130.12, 195.17 and 48.95 is: 73.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.12 : 195.17 = 48.95 : x
  2. Step 2: Convert to fraction form
    130.12/195.17 = 48.95/x
  3. Step 3: Cross multiply
    130.12x = 195.17 × 48.95
  4. Step 4: Simplify right side
    130.12x = 9,553.33
  5. Step 5: Solve for x
    x = 9,553.33/130.12
  6. Step 6: Final answer
    x = 73.42

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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.