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Finding the Fourth Proportional to 154.02, 230.74 and 76.90

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Solution

The fourth proportional to 154.02, 230.74 and 76.90 is: 115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 230.74 = 76.90 : x
  2. Step 2: Convert to fraction form
    154.02/230.74 = 76.90/x
  3. Step 3: Cross multiply
    154.02x = 230.74 × 76.90
  4. Step 4: Simplify right side
    154.02x = 17,743.14
  5. Step 5: Solve for x
    x = 17,743.14/154.02
  6. Step 6: Final answer
    x = 115.20

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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.