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Finding the Fourth Proportional to 155.25, 232.97 and 83.12

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Solution

The fourth proportional to 155.25, 232.97 and 83.12 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.25 : 232.97 = 83.12 : x
  2. Step 2: Convert to fraction form
    155.25/232.97 = 83.12/x
  3. Step 3: Cross multiply
    155.25x = 232.97 × 83.12
  4. Step 4: Simplify right side
    155.25x = 19,362.89
  5. Step 5: Solve for x
    x = 19,362.89/155.25
  6. Step 6: Final answer
    x = 124.72

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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.