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Finding the Fourth Proportional to 135.41, 203.06 and 74.48

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Solution

The fourth proportional to 135.41, 203.06 and 74.48 is: 111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.41 : 203.06 = 74.48 : x
  2. Step 2: Convert to fraction form
    135.41/203.06 = 74.48/x
  3. Step 3: Cross multiply
    135.41x = 203.06 × 74.48
  4. Step 4: Simplify right side
    135.41x = 15,123.08
  5. Step 5: Solve for x
    x = 15,123.08/135.41
  6. Step 6: Final answer
    x = 111.69

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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.