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Finding the Fourth Proportional to 155.66, 215.09 and 122.55

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Solution

The fourth proportional to 155.66, 215.09 and 122.55 is: 169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.66 : 215.09 = 122.55 : x
  2. Step 2: Convert to fraction form
    155.66/215.09 = 122.55/x
  3. Step 3: Cross multiply
    155.66x = 215.09 × 122.55
  4. Step 4: Simplify right side
    155.66x = 26,358.67
  5. Step 5: Solve for x
    x = 26,358.67/155.66
  6. Step 6: Final answer
    x = 169.33

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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.