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Finding the Fourth Proportional to 101.68, 152.31 and 50.29

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Solution

The fourth proportional to 101.68, 152.31 and 50.29 is: 75.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.68 : 152.31 = 50.29 : x
  2. Step 2: Convert to fraction form
    101.68/152.31 = 50.29/x
  3. Step 3: Cross multiply
    101.68x = 152.31 × 50.29
  4. Step 4: Simplify right side
    101.68x = 7,659.67
  5. Step 5: Solve for x
    x = 7,659.67/101.68
  6. Step 6: Final answer
    x = 75.33

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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.