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Finding the Fourth Proportional to 130.60, 195.13 and 107.48

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Solution

The fourth proportional to 130.60, 195.13 and 107.48 is: 160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.60 : 195.13 = 107.48 : x
  2. Step 2: Convert to fraction form
    130.60/195.13 = 107.48/x
  3. Step 3: Cross multiply
    130.60x = 195.13 × 107.48
  4. Step 4: Simplify right side
    130.60x = 20,972.57
  5. Step 5: Solve for x
    x = 20,972.57/130.60
  6. Step 6: Final answer
    x = 160.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.