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Finding the Fourth Proportional to 154.14, 232.07 and 120.12

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Solution

The fourth proportional to 154.14, 232.07 and 120.12 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 232.07 = 120.12 : x
  2. Step 2: Convert to fraction form
    154.14/232.07 = 120.12/x
  3. Step 3: Cross multiply
    154.14x = 232.07 × 120.12
  4. Step 4: Simplify right side
    154.14x = 27,875.65
  5. Step 5: Solve for x
    x = 27,875.65/154.14
  6. Step 6: Final answer
    x = 180.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.