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Finding the Fourth Proportional to 130.96, 196.76 and 111.76

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Solution

The fourth proportional to 130.96, 196.76 and 111.76 is: 167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.96 : 196.76 = 111.76 : x
  2. Step 2: Convert to fraction form
    130.96/196.76 = 111.76/x
  3. Step 3: Cross multiply
    130.96x = 196.76 × 111.76
  4. Step 4: Simplify right side
    130.96x = 21,989.90
  5. Step 5: Solve for x
    x = 21,989.90/130.96
  6. Step 6: Final answer
    x = 167.91

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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.