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Finding the Fourth Proportional to 154.21, 230.74 and 96.16

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Solution

The fourth proportional to 154.21, 230.74 and 96.16 is: 143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.21 : 230.74 = 96.16 : x
  2. Step 2: Convert to fraction form
    154.21/230.74 = 96.16/x
  3. Step 3: Cross multiply
    154.21x = 230.74 × 96.16
  4. Step 4: Simplify right side
    154.21x = 22,188.29
  5. Step 5: Solve for x
    x = 22,188.29/154.21
  6. Step 6: Final answer
    x = 143.88

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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.