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Finding the Fourth Proportional to 154, 230.88 and 89.76

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Solution

The fourth proportional to 154, 230.88 and 89.76 is: 134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 230.88 = 89.76 : x
  2. Step 2: Convert to fraction form
    154/230.88 = 89.76/x
  3. Step 3: Cross multiply
    154x = 230.88 × 89.76
  4. Step 4: Simplify right side
    154x = 20,723.79
  5. Step 5: Solve for x
    x = 20,723.79/154
  6. Step 6: Final answer
    x = 134.57

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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.