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Finding the Fourth Proportional to 130.85, 196.20 and 106.38

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Solution

The fourth proportional to 130.85, 196.20 and 106.38 is: 159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.85 : 196.20 = 106.38 : x
  2. Step 2: Convert to fraction form
    130.85/196.20 = 106.38/x
  3. Step 3: Cross multiply
    130.85x = 196.20 × 106.38
  4. Step 4: Simplify right side
    130.85x = 20,871.76
  5. Step 5: Solve for x
    x = 20,871.76/130.85
  6. Step 6: Final answer
    x = 159.52

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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.