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Finding the Fourth Proportional to 135.71, 203.17 and 105.62

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Solution

The fourth proportional to 135.71, 203.17 and 105.62 is: 158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.71 : 203.17 = 105.62 : x
  2. Step 2: Convert to fraction form
    135.71/203.17 = 105.62/x
  3. Step 3: Cross multiply
    135.71x = 203.17 × 105.62
  4. Step 4: Simplify right side
    135.71x = 21,458.82
  5. Step 5: Solve for x
    x = 21,458.82/135.71
  6. Step 6: Final answer
    x = 158.12

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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.