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Finding the Fourth Proportional to 154.79, 232.20 and 82.65

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Solution

The fourth proportional to 154.79, 232.20 and 82.65 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.79 : 232.20 = 82.65 : x
  2. Step 2: Convert to fraction form
    154.79/232.20 = 82.65/x
  3. Step 3: Cross multiply
    154.79x = 232.20 × 82.65
  4. Step 4: Simplify right side
    154.79x = 19,191.33
  5. Step 5: Solve for x
    x = 19,191.33/154.79
  6. Step 6: Final answer
    x = 123.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.