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Finding the Fourth Proportional to 135.46, 203.10 and 74.54

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Solution

The fourth proportional to 135.46, 203.10 and 74.54 is: 111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.46 : 203.10 = 74.54 : x
  2. Step 2: Convert to fraction form
    135.46/203.10 = 74.54/x
  3. Step 3: Cross multiply
    135.46x = 203.10 × 74.54
  4. Step 4: Simplify right side
    135.46x = 15,139.07
  5. Step 5: Solve for x
    x = 15,139.07/135.46
  6. Step 6: Final answer
    x = 111.76

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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.