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Finding the Fourth Proportional to 135.92, 187.20 and 106.76

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Solution

The fourth proportional to 135.92, 187.20 and 106.76 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.92 : 187.20 = 106.76 : x
  2. Step 2: Convert to fraction form
    135.92/187.20 = 106.76/x
  3. Step 3: Cross multiply
    135.92x = 187.20 × 106.76
  4. Step 4: Simplify right side
    135.92x = 19,984.54
  5. Step 5: Solve for x
    x = 19,984.54/135.92
  6. Step 6: Final answer
    x = 147.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.