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Finding the Fourth Proportional to 135.29, 186.75 and 120.71

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Solution

The fourth proportional to 135.29, 186.75 and 120.71 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.29 : 186.75 = 120.71 : x
  2. Step 2: Convert to fraction form
    135.29/186.75 = 120.71/x
  3. Step 3: Cross multiply
    135.29x = 186.75 × 120.71
  4. Step 4: Simplify right side
    135.29x = 22,542.59
  5. Step 5: Solve for x
    x = 22,542.59/135.29
  6. Step 6: Final answer
    x = 166.62

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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.