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Finding the Fourth Proportional to 130.72, 196.14 and 106.84

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Solution

The fourth proportional to 130.72, 196.14 and 106.84 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.72 : 196.14 = 106.84 : x
  2. Step 2: Convert to fraction form
    130.72/196.14 = 106.84/x
  3. Step 3: Cross multiply
    130.72x = 196.14 × 106.84
  4. Step 4: Simplify right side
    130.72x = 20,955.60
  5. Step 5: Solve for x
    x = 20,955.60/130.72
  6. Step 6: Final answer
    x = 160.31

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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.