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Finding the Fourth Proportional to 154.17, 230.85 and 85.46

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Solution

The fourth proportional to 154.17, 230.85 and 85.46 is: 127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.17 : 230.85 = 85.46 : x
  2. Step 2: Convert to fraction form
    154.17/230.85 = 85.46/x
  3. Step 3: Cross multiply
    154.17x = 230.85 × 85.46
  4. Step 4: Simplify right side
    154.17x = 19,727.29
  5. Step 5: Solve for x
    x = 19,727.29/154.17
  6. Step 6: Final answer
    x = 127.96

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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.