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Finding the Fourth Proportional to 154.01, 230.84 and 71.78

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Solution

The fourth proportional to 154.01, 230.84 and 71.78 is: 107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.01 : 230.84 = 71.78 : x
  2. Step 2: Convert to fraction form
    154.01/230.84 = 71.78/x
  3. Step 3: Cross multiply
    154.01x = 230.84 × 71.78
  4. Step 4: Simplify right side
    154.01x = 16,570.45
  5. Step 5: Solve for x
    x = 16,570.45/154.01
  6. Step 6: Final answer
    x = 107.59

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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.