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Finding the Fourth Proportional to 154.10, 230.88 and 82.01

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Solution

The fourth proportional to 154.10, 230.88 and 82.01 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.10 : 230.88 = 82.01 : x
  2. Step 2: Convert to fraction form
    154.10/230.88 = 82.01/x
  3. Step 3: Cross multiply
    154.10x = 230.88 × 82.01
  4. Step 4: Simplify right side
    154.10x = 18,935.35
  5. Step 5: Solve for x
    x = 18,935.35/154.10
  6. Step 6: Final answer
    x = 122.88

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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.