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Finding the Fourth Proportional to 101.54, 152.42 and 74.41

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Solution

The fourth proportional to 101.54, 152.42 and 74.41 is: 111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.54 : 152.42 = 74.41 : x
  2. Step 2: Convert to fraction form
    101.54/152.42 = 74.41/x
  3. Step 3: Cross multiply
    101.54x = 152.42 × 74.41
  4. Step 4: Simplify right side
    101.54x = 11,340.44
  5. Step 5: Solve for x
    x = 11,340.44/101.54
  6. Step 6: Final answer
    x = 111.68

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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.