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Finding the Fourth Proportional to 154.96, 232.39 and 73.75

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Solution

The fourth proportional to 154.96, 232.39 and 73.75 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 232.39 = 73.75 : x
  2. Step 2: Convert to fraction form
    154.96/232.39 = 73.75/x
  3. Step 3: Cross multiply
    154.96x = 232.39 × 73.75
  4. Step 4: Simplify right side
    154.96x = 17,138.76
  5. Step 5: Solve for x
    x = 17,138.76/154.96
  6. Step 6: Final answer
    x = 110.60

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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.