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Finding the Fourth Proportional to 154.86, 232.14 and 82.64

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Solution

The fourth proportional to 154.86, 232.14 and 82.64 is: 123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 232.14 = 82.64 : x
  2. Step 2: Convert to fraction form
    154.86/232.14 = 82.64/x
  3. Step 3: Cross multiply
    154.86x = 232.14 × 82.64
  4. Step 4: Simplify right side
    154.86x = 19,184.05
  5. Step 5: Solve for x
    x = 19,184.05/154.86
  6. Step 6: Final answer
    x = 123.88

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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.