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Finding the Fourth Proportional to 155.20, 232.75 and 46.96

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Solution

The fourth proportional to 155.20, 232.75 and 46.96 is: 70.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.20 : 232.75 = 46.96 : x
  2. Step 2: Convert to fraction form
    155.20/232.75 = 46.96/x
  3. Step 3: Cross multiply
    155.20x = 232.75 × 46.96
  4. Step 4: Simplify right side
    155.20x = 10,929.94
  5. Step 5: Solve for x
    x = 10,929.94/155.20
  6. Step 6: Final answer
    x = 70.42

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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.