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Finding the Fourth Proportional to 135.29, 203.09 and 102.71

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Solution

The fourth proportional to 135.29, 203.09 and 102.71 is: 154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.29 : 203.09 = 102.71 : x
  2. Step 2: Convert to fraction form
    135.29/203.09 = 102.71/x
  3. Step 3: Cross multiply
    135.29x = 203.09 × 102.71
  4. Step 4: Simplify right side
    135.29x = 20,859.37
  5. Step 5: Solve for x
    x = 20,859.37/135.29
  6. Step 6: Final answer
    x = 154.18

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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.