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Finding the Fourth Proportional to 154.77, 232.25 and 89.73

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Solution

The fourth proportional to 154.77, 232.25 and 89.73 is: 134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.77 : 232.25 = 89.73 : x
  2. Step 2: Convert to fraction form
    154.77/232.25 = 89.73/x
  3. Step 3: Cross multiply
    154.77x = 232.25 × 89.73
  4. Step 4: Simplify right side
    154.77x = 20,840.02
  5. Step 5: Solve for x
    x = 20,840.02/154.77
  6. Step 6: Final answer
    x = 134.65

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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.