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Finding the Fourth Proportional to 155.04, 214.23 and 122.55

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Solution

The fourth proportional to 155.04, 214.23 and 122.55 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.04 : 214.23 = 122.55 : x
  2. Step 2: Convert to fraction form
    155.04/214.23 = 122.55/x
  3. Step 3: Cross multiply
    155.04x = 214.23 × 122.55
  4. Step 4: Simplify right side
    155.04x = 26,253.89
  5. Step 5: Solve for x
    x = 26,253.89/155.04
  6. Step 6: Final answer
    x = 169.34

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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.