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Finding the Fourth Proportional to 135.71, 203.26 and 74.76

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Solution

The fourth proportional to 135.71, 203.26 and 74.76 is: 111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.71 : 203.26 = 74.76 : x
  2. Step 2: Convert to fraction form
    135.71/203.26 = 74.76/x
  3. Step 3: Cross multiply
    135.71x = 203.26 × 74.76
  4. Step 4: Simplify right side
    135.71x = 15,195.72
  5. Step 5: Solve for x
    x = 15,195.72/135.71
  6. Step 6: Final answer
    x = 111.97

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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.