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Finding the Fourth Proportional to 155.06, 213.90 and 96.08

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Solution

The fourth proportional to 155.06, 213.90 and 96.08 is: 132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 213.90 = 96.08 : x
  2. Step 2: Convert to fraction form
    155.06/213.90 = 96.08/x
  3. Step 3: Cross multiply
    155.06x = 213.90 × 96.08
  4. Step 4: Simplify right side
    155.06x = 20,552.05
  5. Step 5: Solve for x
    x = 20,552.05/155.06
  6. Step 6: Final answer
    x = 132.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.