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Finding the Fourth Proportional to 154.96, 232.74 and 114.22

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Solution

The fourth proportional to 154.96, 232.74 and 114.22 is: 171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 232.74 = 114.22 : x
  2. Step 2: Convert to fraction form
    154.96/232.74 = 114.22/x
  3. Step 3: Cross multiply
    154.96x = 232.74 × 114.22
  4. Step 4: Simplify right side
    154.96x = 26,583.56
  5. Step 5: Solve for x
    x = 26,583.56/154.96
  6. Step 6: Final answer
    x = 171.55

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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.